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Volumn , Issue , 1999, Pages 103-110

Development of the Concept of a Complex

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EID: 3142669347     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-044482375-5/50005-5     Document Type: Chapter
Times cited : (14)

References (51)
  • 1
    • 0000429934 scopus 로고
    • The combinatorial theory of complexes
    • Alexander J.W. The combinatorial theory of complexes. Ann. Math. 1930, 31:294-322.
    • (1930) Ann. Math. , vol.31 , pp. 294-322
    • Alexander, J.W.1
  • 4
    • 65749317392 scopus 로고
    • Sopra gli spazi di un numero qualunque di dimensioni
    • Betti E. Sopra gli spazi di un numero qualunque di dimensioni. Ann. Mat. Pura Appl. 1871, 4(2):140-158.
    • (1871) Ann. Mat. Pura Appl. , vol.4 , Issue.2 , pp. 140-158
    • Betti, E.1
  • 5
    • 0000384006 scopus 로고
    • Beweis der Invarianz der Dimensionenzahl
    • Brouwer L.E.J. Beweis der Invarianz der Dimensionenzahl. Math. Ann. 1911, 70:161-165.
    • (1911) Math. Ann. , vol.70 , pp. 161-165
    • Brouwer, L.E.J.1
  • 6
    • 84960614396 scopus 로고
    • On the theory of groups
    • Cayley A. On the theory of groups. Proc. London Math. Soc. 1878, 9:126-133.
    • (1878) Proc. London Math. Soc. , vol.9 , pp. 126-133
    • Cayley, A.1
  • 9
    • 45149104274 scopus 로고
    • Section de Topologie de G. Hirsch. German translation: Geschichte der Mathematik 1700-1900, Vieweg, Braunschweig/Wiesbaden (1985), Hermann, Paris
    • Dieudonné J. Abrégé d'Histoire des Mathématiques 1700-1900, Tom I et II 1978, Section de Topologie de G. Hirsch. German translation: Geschichte der Mathematik 1700-1900, Vieweg, Braunschweig/Wiesbaden (1985), Hermann, Paris.
    • (1978) Abrégé d'Histoire des Mathématiques 1700-1900, Tom I et II
    • Dieudonné, J.1
  • 11
    • 64549130997 scopus 로고
    • Topology of metric complexes
    • Dowker C.H. Topology of metric complexes. Amer. J. Math. 1952, 74:555-586.
    • (1952) Amer. J. Math. , vol.74 , pp. 555-586
    • Dowker, C.H.1
  • 12
    • 34249784724 scopus 로고
    • Gruppentheoretische Studien
    • v.Dyck W. Gruppentheoretische Studien. Math. Ann. 1882, 20:1-44.
    • (1882) Math. Ann. , vol.20 , pp. 1-44
    • Dyck, W.1
  • 13
    • 0039969519 scopus 로고
    • Beiträge zur Analysis situs I
    • v.Dyck W. Beiträge zur Analysis situs I. Math. Ann. 1888, 32:457-512.
    • (1888) Math. Ann. , vol.32 , pp. 457-512
    • Dyck, W.1
  • 15
    • 85080363355 scopus 로고
    • Solutio problematis ad geometriam situs pertinentis
    • Bd. 7
    • Euler L. Solutio problematis ad geometriam situs pertinentis. Opera Omnia I 1741, Bd. 7:1-10.
    • (1741) Opera Omnia I , pp. 1-10
    • Euler, L.1
  • 19
    • 84872173329 scopus 로고
    • Elementa doctrinae solidorum
    • Bd. 26 see also [15]
    • Euler L. Elementa doctrinae solidorum. Opera omnia I 1750, Bd. 26:71-93. see also [15].
    • (1750) Opera omnia I , pp. 71-93
    • Euler, L.1
  • 20
    • 0040857523 scopus 로고
    • Forstudier til en topologisk Teori for de algebraiske Flader Sammenhäng
    • (French translation: Sur l'Analysis situs, Soc. Math. France Bull.
    • Heegaard P. Forstudier til en topologisk Teori for de algebraiske Flader Sammenhäng. Dissertation Copenhagen 1916, 44:161-242. (French translation: Sur l'Analysis situs, Soc. Math. France Bull.
    • (1916) Dissertation Copenhagen , vol.44 , pp. 161-242
    • Heegaard, P.1
  • 21
    • 29144522922 scopus 로고
    • Recherches sur les polyédres
    • Jordan C. Recherches sur les polyédres. J. Reine Angew. Math. 1866, 66:22-85.
    • (1866) J. Reine Angew. Math. , vol.66 , pp. 22-85
    • Jordan, C.1
  • 25
    • 33846245721 scopus 로고
    • Der Census räumlicher Complexe (oder Verallgemeinerung des Eulerschen Satzes von den Polyedern)
    • Listing J.B. Der Census räumlicher Complexe (oder Verallgemeinerung des Eulerschen Satzes von den Polyedern). Abh. Wiss. Ges. Göttingen 1862, 10:97-180.
    • (1862) Abh. Wiss. Ges. Göttingen , vol.10 , pp. 97-180
    • Listing, J.B.1
  • 27
    • 9944237411 scopus 로고
    • On the foundations of Combinatorial analysis situs I, II
    • Newman M.H.A. On the foundations of Combinatorial analysis situs I, II. Proc. of Akad. Wetenschap. Amsterdam 1926, 29:611-641.
    • (1926) Proc. of Akad. Wetenschap. Amsterdam , vol.29 , pp. 611-641
    • Newman, M.H.A.1
  • 28
    • 85080445770 scopus 로고
    • On the foundations of Combinatorial analysis situs I, II
    • Newman M.H.A. On the foundations of Combinatorial analysis situs I, II. Proc. of Akad. Wetenschap. Amsterdam 1927, 30:670-673.
    • (1927) Proc. of Akad. Wetenschap. Amsterdam , vol.30 , pp. 670-673
    • Newman, M.H.A.1
  • 30
  • 31
    • 0347736861 scopus 로고
    • 1r Complément à l'Analysis situs
    • Poincaré H. 1r Complément à l'Analysis situs. Rend. Circ. Mat. Palermo 1899, 13:285-343.
    • (1899) Rend. Circ. Mat. Palermo , vol.13 , pp. 285-343
    • Poincaré, H.1
  • 33
    • 40849099591 scopus 로고
    • Réduction d'une intégrale multiple
    • Schläfli L. Réduction d'une intégrale multiple. J. Math. Pures Appl. 1855, 20:359-394.
    • (1855) J. Math. Pures Appl. , vol.20 , pp. 359-394
    • Schläfli, L.1
  • 34
    • 0346156780 scopus 로고
    • Konstruktion dreidimensionaler geschlossener Räume
    • Seifert H. Konstruktion dreidimensionaler geschlossener Räume. Ber. Sächs. Akad. Wiss. 1931, 83:26-66.
    • (1931) Ber. Sächs. Akad. Wiss. , vol.83 , pp. 26-66
    • Seifert, H.1
  • 36
    • 84966256032 scopus 로고
    • Polyhedral homotopy-spheres
    • Stallings J. Polyhedral homotopy-spheres. Bull. Amer. Math. Soc. 1960, 66:485-488.
    • (1960) Bull. Amer. Math. Soc. , vol.66 , pp. 485-488
    • Stallings, J.1
  • 38
    • 33746486449 scopus 로고
    • Beiträge zur Analysis situs
    • Arch. Math. Physik 13 (1908)
    • Steinitz E. Beiträge zur Analysis situs. Sitz.-Ber. Berlin Math. Ges. 1908, 7:29-49. and Arch. Math. Physik 13 (1908).
    • (1908) Sitz.-Ber. Berlin Math. Ges. , vol.7 , pp. 29-49
    • Steinitz, E.1
  • 40
    • 0003647394 scopus 로고
    • Classical Topology and Combinatorial Group Theory
    • Springer, Berlin
    • Stillwell J. Classical Topology and Combinatorial Group Theory. Grad. Texts Math. 1980, vol. 72. Springer, Berlin.
    • (1980) Grad. Texts Math. , vol.72
    • Stillwell, J.1
  • 42
    • 34347193785 scopus 로고
    • Über die topologischen Invarianten mehrdimensionaler Mannigfaltigkeiten
    • Tietze H. Über die topologischen Invarianten mehrdimensionaler Mannigfaltigkeiten. Monatsh. Math. Phys. 1908, 19:1-118.
    • (1908) Monatsh. Math. Phys. , vol.19 , pp. 1-118
    • Tietze, H.1
  • 43
    • 0000999195 scopus 로고
    • On the connection between the fundamental groups of some related spaces
    • van Kampen E.R. On the connection between the fundamental groups of some related spaces. Amer. J. Math. 1933, 55:255-260.
    • (1933) Amer. J. Math. , vol.55 , pp. 255-260
    • van Kampen, E.R.1
  • 44
    • 37549058859 scopus 로고
    • Amer. Math. Soc., New York
    • Veblen O. Analysis Situs 1922, Amer. Math. Soc., New York.
    • (1922) Analysis Situs
    • Veblen, O.1
  • 46
    • 84963025705 scopus 로고
    • Simplicial spaces, nuclei and m-groups
    • Whitehead J.H.C. Simplicial spaces, nuclei and m-groups. Proc. Lond. Math. Soc. 1939, 45:243-327.
    • (1939) Proc. Lond. Math. Soc. , vol.45 , pp. 243-327
    • Whitehead, J.H.C.1
  • 47
    • 0040907231 scopus 로고
    • On incidence matrices, nuclei and homotopy types
    • Whitehead J.H.C. On incidence matrices, nuclei and homotopy types. Ann. Math. 1941, 42:1197-1239.
    • (1941) Ann. Math. , vol.42 , pp. 1197-1239
    • Whitehead, J.H.C.1
  • 48
    • 0001592411 scopus 로고
    • On adding relations to homotopy groups
    • Whitehead J.H.C. On adding relations to homotopy groups. Ann. Math. 1941, 42:409-428.
    • (1941) Ann. Math. , vol.42 , pp. 409-428
    • Whitehead, J.H.C.1
  • 49
    • 84966219547 scopus 로고
    • The generalized Poincaré-conjecture
    • Zeeman E.C. The generalized Poincaré-conjecture. Bull. Amer. Math. Soc. 1961, 76:270.
    • (1961) Bull. Amer. Math. Soc. , vol.76 , pp. 270
    • Zeeman, E.C.1
  • 51
    • 0000745408 scopus 로고
    • On the dunce hat
    • Zeeman E.C. On the dunce hat. Topology 1964, 2:341-358.
    • (1964) Topology , vol.2 , pp. 341-358
    • Zeeman, E.C.1


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