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Volumn 42, Issue 2, 2005, Pages 163-180

The golden age of immersion theory in topology: 1959-1973. A Mathematical survey from a historical perspective

Author keywords

H principle; Immersion theory; Leningrad school; Smale's theory; Topology

Indexed keywords


EID: 18144410956     PISSN: 02730979     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0273-0979-05-01048-7     Document Type: Article
Times cited : (12)

References (76)
  • 1
    • 0011880115 scopus 로고
    • Embeddings and immersions
    • Amer. Math. Soc., Providence, RI. MR1225100 (95a:57039)
    • Adachi, M., 1993. Embeddings and immersions. Transl. Math. Monographs, Vol. 124, Amer. Math. Soc., Providence, RI. MR1225100 (95a:57039)
    • (1993) Transl. Math. Monographs , vol.124
    • Adachi, M.1
  • 2
    • 18144399496 scopus 로고
    • Equivariant Gromov Theory
    • MR0353334 (50:5818)
    • Bierstone, E., 1974. Equivariant Gromov Theory. Topology 13, 327-345. MR0353334 (50:5818)
    • (1974) Topology , vol.13 , pp. 327-345
    • Bierstone, E.1
  • 3
    • 0000554549 scopus 로고
    • The immersion conjecture for differentiable manifolds
    • MR0808220 (86m:57030)
    • Cohen, R.L., 1985. The immersion conjecture for differentiable manifolds. Ann. of Math. 122, 237-328. MR0808220 (86m:57030)
    • (1985) Ann. of Math. , vol.122 , pp. 237-328
    • Cohen, R.L.1
  • 4
    • 18144419208 scopus 로고    scopus 로고
    • Parametric homotopy principle of some partial differential relations
    • MR1693501 (2000f:58021)
    • Datta, M., Mukherjee, A., 1998. Parametric homotopy principle of some partial differential relations. Math. Slovaca 48, 411-421. MR1693501 (2000f:58021)
    • (1998) Math. Slovaca , vol.48 , pp. 411-421
    • Datta, M.1    Mukherjee, A.2
  • 5
    • 0000602577 scopus 로고
    • Les prolongements d'une variété différentiable, I, II, III
    • Ehresmann, C., 1951/1984. Les prolongements d'une variété différentiable, I, II, III. C. R. Acad. Sci. Paris 233, 598-600; 777-779; 1081-1083.
    • (1951) C. R. Acad. Sci. Paris , vol.233 , pp. 598-600
    • Ehresmann, C.1
  • 6
    • 18144422638 scopus 로고
    • Topologie algébrique et géométrie différentielle. Cahiers Topologie et Géom
    • Reprinted in: Charles Ehresmann: œuvres complètes et commentées, I-1, I-2. MR13:386a, MR13:584b, MR13:584c; MR0794193 (86i:01059)
    • Reprinted in: Charles Ehresmann: œuvres complètes et commentées, I-1, I-2. Topologie algébrique et géométrie différentielle. Cahiers Topologie et Géom. Différentielle 24 (1983), suppl.1 (1984), 343-345; 346-348; 349-351. MR13:386a, MR13:584b, MR13:584c; MR0794193 (86i:01059)
    • (1983) Différentielle , vol.24 , Issue.SUPPL. 1 , pp. 343-345
  • 7
    • 0039592668 scopus 로고
    • Singularities of folding type
    • Russian
    • Eliashberg, Ja.M., 1970. Singularities of folding type. Izv. Akad. Nauk SSSR Ser. Mat. 34, 1110-1126 (Russian).
    • (1970) Izv. Akad. Nauk SSSR Ser. Mat. , vol.34 , pp. 1110-1126
    • Eliashberg, J.M.1
  • 8
    • 0000253036 scopus 로고
    • English translation: MR0278321 (43:4051)
    • English translation: Math. USSR Izvestia 4 (1970), 1119-1134. MR0278321 (43:4051)
    • (1970) Math. USSR Izvestia , vol.4 , pp. 1119-1134
  • 9
    • 0040183880 scopus 로고
    • Surgery of singularities of smooth mappings
    • Russian
    • Eliashberg, Ja.M., 1972. Surgery of singularities of smooth mappings. Izv. Akad. Nauk SSSR Ser. Mat. 36, 1321-1347 (Russian).
    • (1972) Izv. Akad. Nauk SSSR Ser. Mat. , vol.36 , pp. 1321-1347
    • Eliashberg, J.M.1
  • 10
    • 0001573446 scopus 로고
    • English translation: MR0339261 (49:4021)
    • English translation: Math. USSR Izvestia 6 (1972), 1302-1326. MR0339261 (49:4021).
    • (1972) Math. USSR Izvestia , vol.6 , pp. 1302-1326
  • 11
    • 0039460148 scopus 로고    scopus 로고
    • Wrinkling of smooth mappings and its applications, I
    • MR1474161 (99d:57021)
    • Eliashberg, Y., Mishachev, N., 1997. Wrinkling of smooth mappings and its applications, I. Invent. Math. 130, 345-369. MR1474161 (99d:57021)
    • (1997) Invent. Math. , vol.130 , pp. 345-369
    • Eliashberg, Y.1    Mishachev, N.2
  • 13
    • 18144419113 scopus 로고    scopus 로고
    • Holonomic approximation and Gromov's h-principle. Essays on geometry and related topics
    • MR1929330 (2003k:58006)
    • Eliashberg, Y., Mishachev, N., 2001. Holonomic approximation and Gromov's h-principle. Essays on geometry and related topics. Monogr. Enseign. Math. 38, Vols. 1, 2, 271-285. MR1929330 (2003k:58006)
    • (2001) Monogr. Enseign. Math. 38 , vol.1-2 , pp. 271-285
    • Eliashberg, Y.1    Mishachev, N.2
  • 14
    • 0038751591 scopus 로고    scopus 로고
    • Introduction to the h-principle
    • Amer. Math. Soc., Providence, RI. MR1909245 (2003g:53164)
    • Eliashberg, Y., Mishachev, N., 2002. Introduction to the h-principle. Grad. Stud, in Math., Vol. 48, Amer. Math. Soc., Providence, RI. MR1909245 (2003g:53164)
    • (2002) Grad. Stud, in Math. , vol.48
    • Eliashberg, Y.1    Mishachev, N.2
  • 15
    • 84968476492 scopus 로고
    • The geometry of immersions, I
    • MR0185602 (32:3065)
    • Feldman, E.A., 1965. The geometry of immersions, I. Trans. Amer. Math. Soc. 120, 185-224. MR0185602 (32:3065)
    • (1965) Trans. Amer. Math. Soc. , vol.120 , pp. 185-224
    • Feldman, E.A.1
  • 16
    • 84972492658 scopus 로고
    • Deformations of closed space curves
    • MR0232400 (38:725)
    • Feldman, E.A. 1968. Deformations of closed space curves. J. Diff. Geom. 2, 67-75. MR0232400 (38:725)
    • (1968) J. Diff. Geom. , vol.2 , pp. 67-75
    • Feldman, E.A.1
  • 17
    • 1842750851 scopus 로고
    • κ-mersions of manifolds
    • MR0243541 (39:4862)
    • Feit, S.D., 1969. κ-mersions of manifolds. Acta Math. 122, 173-195. MR0243541 (39:4862)
    • (1969) Acta Math. , vol.122 , pp. 173-195
    • Feit, S.D.1
  • 18
    • 18144417293 scopus 로고
    • Transversal mappings of foliations
    • Russian
    • Gromov, M.L., 1968. Transversal mappings of foliations. Dokl. Akad. Nauk SSSR. 182, 255-258 (Russian).
    • (1968) Dokl. Akad. Nauk SSSR. , vol.182 , pp. 255-258
    • Gromov, M.L.1
  • 19
    • 18144371010 scopus 로고
    • English translation: MR0238352 (38:6628)
    • English translation: Soviet Math. Dokl. 9 (1968), 1126-1129. MR0238352 (38:6628)
    • (1968) Soviet Math. Dokl. , vol.9 , pp. 1126-1129
  • 20
    • 0001673541 scopus 로고
    • Stable maps of foliations into manifolds
    • Russian
    • Gromov, M.L., 1969. Stable maps of foliations into manifolds. Izv. Akad. Nauk SSSR Ser. Mat. 33, 707-734 (Russian).
    • (1969) Izv. Akad. Nauk SSSR Ser. Mat. , vol.33 , pp. 707-734
    • Gromov, M.L.1
  • 21
    • 0001673541 scopus 로고
    • English translation: MR0263103 (41:7708)
    • English translation: Trans. Math. USSR Izvestia 3 (1969), 671-694. MR0263103 (41:7708)
    • (1969) Trans. Math. USSR Izvestia , vol.3 , pp. 671-694
  • 22
    • 18144371395 scopus 로고
    • Smoothing and inversion of differential operators
    • Russian
    • Gromov, M.L., 1972. Smoothing and inversion of differential operators. Math. Sbornik 88 (130), 382-441 (Russian).
    • (1972) Math. Sbornik , vol.88 , Issue.130 , pp. 382-441
    • Gromov, M.L.1
  • 23
    • 18144391770 scopus 로고
    • English translation: MR0310924 (46:10022)
    • English translation: Math. USSR Sbornik 17 (1972), 381-435. MR0310924 (46:10022)
    • (1972) Math. USSR Sbornik , vol.17 , pp. 381-435
  • 24
    • 18144402234 scopus 로고
    • Degenerate smooth mappings
    • Russian
    • Gromov, M.L., 1973a. Degenerate smooth mappings. Mat. Zametki 14, 509-516 (Russian).
    • (1973) Mat. Zametki , vol.14 , pp. 509-516
    • Gromov, M.L.1
  • 25
    • 18144395277 scopus 로고
    • English translation: MR0339209 (49:3972)
    • English translation: Math. Notes 14 (1973), 849-853. MR0339209 (49:3972)
    • (1973) Math. Notes , vol.14 , pp. 849-853
  • 26
    • 0000481668 scopus 로고
    • Convex integration of differential relations. I
    • Russian
    • Gromov, M.L., 1973b. Convex integration of differential relations. I. Izv. Akad. Nauk SSSR Ser. Mat. 37, 329-343 (Russian).
    • (1973) Izv. Akad. Nauk SSSR Ser. Mat. , vol.37 , pp. 329-343
    • Gromov, M.L.1
  • 27
    • 3543040458 scopus 로고
    • English translation: MR0413206 (54:1323)
    • English translation: Math. USSR Izvestia 7 (1973), 329-343. MR0413206 (54:1323)
    • (1973) Math. USSR Izvestia , vol.7 , pp. 329-343
  • 28
    • 0003358469 scopus 로고
    • Partial differential relations
    • Folge · Band 9, Springer-Verlag, Berlin. MR0864505 (90a:58201)
    • Gromov, M.L., 1986. Partial differential relations. Ergebnisse der Mathematik und ihrer Grenzgebiete 3, Folge · Band 9, Springer-Verlag, Berlin. MR0864505 (90a:58201)
    • (1986) Ergebnisse der Mathematik und Ihrer Grenzgebiete 3 , vol.9
    • Gromov, M.L.1
  • 29
  • 30
    • 0009994484 scopus 로고
    • English translation: MR0301748 (46:903)
    • English translation: Math. USSR Izvestia 5 (1971), 615-639. MR0301748 (46:903)
    • (1971) Math. USSR Izvestia , vol.5 , pp. 615-639
  • 31
    • 18144431574 scopus 로고
    • Nonsingular maps of Stein manifolds. Funkcional
    • Russian
    • Gromov, M.L., Eliashberg, Ja.M., 1971b. Nonsingular maps of Stein manifolds. Funkcional. Anal. i Prilozhen 2, 82-83 (Russian).
    • (1971) Anal. I Prilozhen , vol.2 , pp. 82-83
    • Gromov, M.L.1    Eliashberg, J.M.2
  • 32
    • 0038858647 scopus 로고
    • English translation: MR0301236 (46:394)
    • English translation: Functional Anal. Appl. 5 (1971), 156-157. MR0301236 (46:394)
    • (1971) Functional Anal. Appl. , vol.5 , pp. 156-157
  • 33
    • 0001469135 scopus 로고
    • Embeddings of Stein manifolds of dimension n into the affine space of dimension (3n/2) + 1
    • MR1173927 (93g:32037)
    • Gromov, M., Eliashberg, Y., 1992. Embeddings of Stein manifolds of dimension n into the affine space of dimension (3n/2) + 1. Ann. of Math. (2) 136, 123-135. MR1173927 (93g:32037)
    • (1992) Ann. of Math. (2) , vol.136 , pp. 123-135
    • Gromov, M.1    Eliashberg, Y.2
  • 34
    • 51249161288 scopus 로고
    • La classification des immersions combinatoires
    • MR0172296 (30:2515)
    • Haefliger, A., Poénaru, V., 1964. La classification des immersions combinatoires. Inst. Hautes Études Sci. Publ. Math. 23, 75-91. MR0172296 (30:2515)
    • (1964) Inst. Hautes Études Sci. Publ. Math. , vol.23 , pp. 75-91
    • Haefliger, A.1    Poénaru, V.2
  • 35
    • 15544363715 scopus 로고
    • Feuilletages sur les variétés ouvertes
    • MR0263104 (41:7709)
    • Haefliger, A., 1970. Feuilletages sur les variétés ouvertes. Topology 9, 183-194. MR0263104 (41:7709)
    • (1970) Topology , vol.9 , pp. 183-194
    • Haefliger, A.1
  • 37
    • 0004034109 scopus 로고    scopus 로고
    • Springer. MR0334241 (48:12560)
    • Lecture Notes in Math., Vol. 209, Springer. MR0334241 (48:12560)
    • Lecture Notes in Math. , vol.209
  • 38
    • 84968521735 scopus 로고
    • Immersions of manifolds
    • MR0119214 (22:9980)
    • Hirsch, M.W., 1959. Immersions of manifolds. Trans. Amer. Math. Soc. 93, 242-276. MR0119214 (22:9980)
    • (1959) Trans. Amer. Math. Soc. , vol.93 , pp. 242-276
    • Hirsch, M.W.1
  • 39
    • 0040072540 scopus 로고
    • On imbedding differentiable manifolds in euclidean space
    • MR0124915 (23:A2223)
    • Hirsch, M.W., 1961. On imbedding differentiable manifolds in euclidean space. Ann. of Math. 73, 566-571. MR0124915 (23:A2223)
    • (1961) Ann. of Math. , vol.73 , pp. 566-571
    • Hirsch, M.W.1
  • 40
    • 18144369121 scopus 로고
    • The work of Stephen Smale in differential topology
    • (M.W. Hirsch, J.E. Marsden, M. Shub, eds.). Springer-Verlag, New York, MR1246112 (97b:57001)
    • Hirsch, M.W., 1993. The work of Stephen Smale in differential topology. From Topology to Computation: Proceedings of the Smalefest (M.W. Hirsch, J.E. Marsden, M. Shub, eds.). Springer-Verlag, New York, 83-106. MR1246112 (97b:57001)
    • (1993) From Topology to Computation: Proceedings of the Smalefest , pp. 83-106
    • Hirsch, M.W.1
  • 41
    • 0000842023 scopus 로고
    • Stable homeomorphisms and the annulus conjecture
    • MR0242165 (39:3499)
    • Kirby, R.C., 1969. Stable homeomorphisms and the annulus conjecture. Ann. of Math. 89, 575-582. MR0242165 (39:3499)
    • (1969) Ann. of Math. , vol.89 , pp. 575-582
    • Kirby, R.C.1
  • 42
    • 84968512202 scopus 로고
    • On the triangulation of manifolds and the Hauptvermutung
    • MR0242166 (39:3500)
    • Kirby, R.C., Siebenmann, L.C., 1969. On the triangulation of manifolds and the Hauptvermutung. Bull. Amer. Math. Soc. 75, 742-749. MR0242166 (39:3500)
    • (1969) Bull. Amer. Math. Soc. , vol.75 , pp. 742-749
    • Kirby, R.C.1    Siebenmann, L.C.2
  • 43
    • 0008726844 scopus 로고
    • 1-isometric imbeddings, I, II
    • MR0075640 (17:782c)
    • 1-isometric imbeddings, I, II. Indag. Math. 17, 545-556, 683-689. MR0075640 (17:782c)
    • (1955) Indag. Math. , vol.17 , pp. 545-556
    • Kuiper, N.H.1
  • 44
    • 18144406729 scopus 로고
    • Triangulation of manifolds, I, II
    • MR0247631 (40:895)
    • Lashof, R., Rothenberg, M., 1969. Triangulation of manifolds, I, II. Bull. Amer. Math. Soc. 75, 750-754, 755-757. MR0247631 (40:895)
    • (1969) Bull. Amer. Math. Soc. , vol.75 , pp. 750-754
    • Lashof, R.1    Rothenberg, M.2
  • 45
    • 84968513616 scopus 로고
    • Foliations
    • MR0343289 (49:8031)
    • Lawson, H.B., 1974. Foliations. Bull. Amer. Math. Soc. 80, 369-418. MR0343289 (49:8031)
    • (1974) Bull. Amer. Math. Soc. , vol.80 , pp. 369-418
    • Lawson, H.B.1
  • 46
    • 84968476243 scopus 로고
    • Immersions and surgeries of topological manifolds
    • MR0239602 (39:959)
    • Lees, J.A., 1969. Immersions and surgeries of topological manifolds. Bull. Amer. Math. Soc. 75, 529-534. MR0239602 (39:959)
    • (1969) Bull. Amer. Math. Soc. , vol.75 , pp. 529-534
    • Lees, J.A.1
  • 47
    • 18144426267 scopus 로고
    • Outside in (Video)
    • University of Minnesota Geometry Center, Minneapolis, MN. Distributed by A K Peters Ltd., Wellesley, MA. MR1357901 (96m:00012)
    • Levy, S., Maxwell, D., Munzner, T., 1995. Outside In (Video). Accompanying text, Making waves, University of Minnesota Geometry Center, Minneapolis, MN. Distributed by A K Peters Ltd., Wellesley, MA. MR1357901 (96m:00012)
    • (1995) Accompanying Text, Making Waves
    • Levy, S.1    Maxwell, D.2    Munzner, T.3
  • 48
    • 0011397552 scopus 로고
    • Elimination of cusps
    • MR0176484 (31:756)
    • Levine, H.I., 1965. Elimination of cusps. Topology 3, suppl. 2, 263-296. MR0176484 (31:756)
    • (1965) Topology , vol.3 , Issue.SUPPL. 2 , pp. 263-296
    • Levine, H.I.1
  • 49
    • 84972494159 scopus 로고
    • Negative bending of open manifolds
    • MR1305978 (96k:53061)
    • Lohkamp, J., 1994a. Negative bending of open manifolds. J. Differential Geom. 40, 461-474. MR1305978 (96k:53061)
    • (1994) J. Differential Geom. , vol.40 , pp. 461-474
    • Lohkamp, J.1
  • 50
    • 0000154044 scopus 로고
    • Metrics of negative Ricci curvature
    • MR1307899 (95i:53042)
    • Lohkamp, J., 1994b. Metrics of negative Ricci curvature. Ann. of Math (2) 140, 655-683. MR1307899 (95i:53042)
    • (1994) Ann. of Math (2) , vol.140 , pp. 655-683
    • Lohkamp, J.1
  • 51
    • 0001636186 scopus 로고
    • 1-isometric imbeddings
    • MR0065993 (16:515e)
    • 1-isometric imbeddings. Ann. of Math. 63, 383-396. MR0065993 (16:515e)
    • (1954) Ann. of Math. , vol.63 , pp. 383-396
    • Nash, J.1
  • 52
    • 0003272763 scopus 로고
    • Seminar on the Atiyah-Singer index theorem
    • Princeton University Press. MR0198494 (33:6649)
    • Palais, R.S., 1965 Seminar on the Atiyah-Singer index theorem. Annals of Math. Studies, Vol. 57, Princeton University Press. MR0198494 (33:6649)
    • (1965) Annals of Math. Studies , vol.57
    • Palais, R.S.1
  • 53
    • 0010466848 scopus 로고
    • Submersions of open manifolds
    • MR0208611 (34:8420)
    • Phillips, A., 1967. Submersions of open manifolds. Topology 6, 171-206. MR0208611 (34:8420)
    • (1967) Topology , vol.6 , pp. 171-206
    • Phillips, A.1
  • 54
    • 51249190951 scopus 로고
    • Foliations on open manifolds, II
    • MR0253364 (40:6579)
    • Phillips, A., 1969. Foliations on open manifolds, II. Comment. Math. Helv. 44, 367-370. MR0253364 (40:6579)
    • (1969) Comment. Math. Helv. , vol.44 , pp. 367-370
    • Phillips, A.1
  • 55
    • 84966214455 scopus 로고
    • Smooth maps transverse to a foliation
    • MR0263106 (41:7711)
    • Phillips, A., 1970. Smooth maps transverse to a foliation. Bull. Amer. Math. Soc. 76, 792-797. MR0263106 (41:7711)
    • (1970) Bull. Amer. Math. Soc. , vol.76 , pp. 792-797
    • Phillips, A.1
  • 56
    • 84968513581 scopus 로고
    • Smooth maps of constant rank
    • MR0334238 (48:12557)
    • Phillips, A., 1974. Smooth maps of constant rank. Bull. Amer. Math. Soc. 80, 513-517. MR0334238 (48:12557)
    • (1974) Bull. Amer. Math. Soc. , vol.80 , pp. 513-517
    • Phillips, A.1
  • 57
    • 51249191523 scopus 로고
    • Maps without certain singularities
    • MR0397779 (53:1637)
    • du Plessis, A., 1975. Maps without certain singularities. Comment. Math. Helv. 50, 363-382. MR0397779 (53:1637)
    • (1975) Comment. Math. Helv. , vol.50 , pp. 363-382
    • Du Plessis, A.1
  • 58
    • 18144398025 scopus 로고
    • Sur la théorie des immersions
    • MR0153023 (27:2992)
    • Poénaru, V., 1962. Sur la théorie des immersions. Topology 1, 81-100. MR0153023 (27:2992)
    • (1962) Topology , vol.1 , pp. 81-100
    • Poénaru, V.1
  • 59
    • 0039480782 scopus 로고
    • On regular homotopy in codimension 1
    • MR0192507 (33:732)
    • Poénaru, V., 1966. On regular homotopy in codimension 1. Ann. of Math. 83, 257-265. MR0192507 (33:732)
    • (1966) Ann. of Math. , vol.83 , pp. 257-265
    • Poénaru, V.1
  • 60
    • 18144379369 scopus 로고
    • Extensions des immersions en codimension 1 (d'après S. Blank)
    • Poénaru, V., 1968 Extensions des immersions en codimension 1 (d'après S. Blank). Sém. Bourbaki, Exposé 342, 1-33.
    • (1968) Sém. Bourbaki, Exposé , vol.342 , pp. 1-33
    • Poénaru, V.1
  • 61
    • 18144430066 scopus 로고
    • Reprinted in: Années
    • Reprinted in: Séminaire Bourbaki, Vol. 10, Années 1966/67-1967/68
    • (1966) Séminaire Bourbaki , vol.10
  • 62
    • 18144373302 scopus 로고
    • Paris MR1610469, MR1610884 (99f:00042)
    • Société Math. de France, Paris (1995), 473-505. MR1610469, MR1610884 (99f:00042)
    • (1995) Société Math. de France , pp. 473-505
  • 63
    • 0039985480 scopus 로고
    • Homotopy theory and differentiable singularities
    • Manifolds-Amsterdam 1970 (Proc. Nuffic Summer School), Springer. MR0285026 (44:2250)
    • Poénaru, V., 1971. Homotopy theory and differentiable singularities. Manifolds-Amsterdam 1970 (Proc. Nuffic Summer School), pp. 106-132, Lecture Notes in Math., Vol. 197, Springer. MR0285026 (44:2250)
    • (1971) Lecture Notes in Math. , vol.197 , pp. 106-132
    • Poénaru, V.1
  • 64
    • 84968484422 scopus 로고
    • A classification of immersions of the two-sphere
    • MR0104227 (21:2984)
    • Smale, S., 1958. A classification of immersions of the two-sphere. Trans. Amer. Math. Soc. 90, 281-290. MR0104227 (21:2984)
    • (1958) Trans. Amer. Math. Soc. , vol.90 , pp. 281-290
    • Smale, S.1
  • 65
    • 0000962368 scopus 로고
    • The classification of immersions of spheres in Euclidean spaces
    • MR0105117 (21:3862)
    • Smale, S., 1959. The classification of immersions of spheres in Euclidean spaces. Ann. Math. 69, 27-344. MR0105117 (21:3862)
    • (1959) Ann. Math. , vol.69 , pp. 27-344
    • Smale, S.1
  • 66
    • 18144396392 scopus 로고
    • Note on the history of immersion theory
    • (M.W. Hirsch, J.E. Marsden, M. Shub, eds.), Springer-Verlag, New York, MR1246113 (97b:57002)
    • Spring, D., 1993. Note on the history of immersion theory. From Topology to Computation: Proceedings of the Smalefest (M.W. Hirsch, J.E. Marsden, M. Shub, eds.), Springer-Verlag, New York, 114-116. MR1246113 (97b:57002)
    • (1993) From Topology to Computation: Proceedings of the Smalefest , pp. 114-116
    • Spring, D.1
  • 67
    • 0742299863 scopus 로고    scopus 로고
    • Convex integration theory: Solutions to the h-principle in geometry and topology
    • Birkhäuser-Verlag, Basel. MR1488424 (99e:58024)
    • Spring, D., 1998. Convex integration theory: solutions to the h-principle in geometry and topology. Monographs in Mathematics, Vol. 92, Birkhäuser-Verlag, Basel. MR1488424 (99e:58024)
    • (1998) Monographs in Mathematics , vol.92
    • Spring, D.1
  • 68
    • 0036004888 scopus 로고    scopus 로고
    • Directed embeddings and the simplification of singularities
    • MR1890079 (2003h:58055)
    • Spring, D., 2002. Directed embeddings and the simplification of singularities. Commun. Contemp. Math. 4, 107-144. MR1890079 (2003h:58055)
    • (2002) Commun. Contemp. Math. , vol.4 , pp. 107-144
    • Spring, D.1
  • 69
    • 18144363802 scopus 로고
    • La classification des immersions (d'après Smale)
    • MR0105693 (21:4429)
    • Thom, R., 1957. La classification des immersions (d'après Smale). Séminaire Bourbaki, Exposé 157, 11 pp. MR0105693 (21:4429)
    • (1957) Séminaire Bourbaki, Exposé , vol.157 , pp. 11
    • Thom, R.1
  • 70
    • 0042298090 scopus 로고
    • Remarques sur les problèmes comportant des inéquations différentielles globales
    • MR0121807 (22:12537)
    • Thom, R., 1959. Remarques sur les problèmes comportant des inéquations différentielles globales. Bull. Soc. Math. France 87, 455-461. MR0121807 (22:12537)
    • (1959) Bull. Soc. Math. France , vol.87 , pp. 455-461
    • Thom, R.1
  • 71
    • 51249189734 scopus 로고
    • The theory of foliations of codimension greater than one
    • MR0370619 (51:6846)
    • Thurston, W.P., 1974. The theory of foliations of codimension greater than one. Comment. Math. Helv. 49, 214-231. MR0370619 (51:6846)
    • (1974) Comment. Math. Helv. , vol.49 , pp. 214-231
    • Thurston, W.P.1
  • 72
    • 0001169875 scopus 로고
    • Existence of codimension-one foliations
    • MR0425985 (54:13934)
    • Thurston, W.P., 1976. Existence of codimension-one foliations. Ann. of Math. 104, 249-268. MR0425985 (54:13934)
    • (1976) Ann. of Math. , vol.104 , pp. 249-268
    • Thurston, W.P.1
  • 73
    • 0003234747 scopus 로고
    • Complements of discriminants of smooth maps: Topology and applications
    • Amer. Math. Soc., Providence, RI. MR1168473 (94i:57020)
    • Vassiliev, V.A., 1992. Complements of discriminants of smooth maps: topology and applications. Translations of Mathematical Monographs, 98, Amer. Math. Soc., Providence, RI. MR1168473 (94i:57020)
    • (1992) Translations of Mathematical Monographs , vol.98
    • Vassiliev, V.A.1
  • 74
    • 0001506613 scopus 로고
    • On regular closed curves in the plane
    • Whitney, H., 1937. On regular closed curves in the plane. Compositio Math. 4, 276-284.
    • (1937) Compositio Math. , vol.4 , pp. 276-284
    • Whitney, H.1
  • 75
    • 0000024516 scopus 로고
    • The singularities of a smooth n-manifold in (2n - 1)-space
    • MR0010275 (5:274a)
    • Whitney, H., 1944. The singularities of a smooth n-manifold in (2n - 1)-space. Ann. of Math. 45, 247-293. MR0010275 (5:274a)
    • (1944) Ann. of Math. , vol.45 , pp. 247-293
    • Whitney, H.1
  • 76
    • 0000770380 scopus 로고
    • On singularities of mappings of euclidean spaces. I. Mappings of the plane into the plane
    • MR0073980 (17:518d)
    • Whitney, H., 1955. On singularities of mappings of euclidean spaces. I. Mappings of the plane into the plane. Ann. of Math. 62, 374-410. MR0073980 (17:518d)
    • (1955) Ann. of Math. , vol.62 , pp. 374-410
    • Whitney, H.1


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