메뉴 건너뛰기




Volumn 88, Issue 3, 1997, Pages 435-447

A homotopy-theoretic proof of williams’s metastable poincaré embedding theorem

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0009303886     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-97-08818-9     Document Type: Article
Times cited : (5)

References (28)
  • 1
    • 0040648924 scopus 로고
    • On the spectral sequence of an inclusion
    • (Matematisk Institut), Aarhus Universitet, Aarhus
    • M. G. Barratt, “On the spectral sequence of an inclusion” in Colloquium on Algebraic Topology (Matematisk Institut), Aarhus Universitet, Aarhus, 1962, 22-27.
    • (1962) Colloquium on Algebraic Topology , pp. 22-27
    • Barratt, M.G.1
  • 2
    • 0009232026 scopus 로고
    • On suspensions and comultiplications
    • I. Berstein and P. J. Hilton, On suspensions and comultiplications, Topology 2 (1963), 73-82.
    • (1963) Topology , vol.2 , pp. 73-82
    • Berstein, I.1    Hilton, P.J.2
  • 4
    • 84966252409 scopus 로고
    • Embedding 1-connected manifolds
    • W. Browder, Embedding 1-connected manifolds, Bull. Amer. Math. Soc. 72 (1966), 225-231.
    • (1966) Bull. Amer. Math. Soc , vol.72 , pp. 225-231
    • Browder, W.1
  • 5
    • 0009405775 scopus 로고
    • Embedding smooth manifolds
    • Moscow, Izdat. “Mir,” Moscow
    • W. Browder, “Embedding smooth manifolds” in Proc. Internat. Congr. Math. (Moscow, 1966), Izdat. “Mir,” Moscow, 1968, 712-719.
    • (1966) Proc. Internat. Congr. Math , pp. 712-719
    • Browder, W.1
  • 7
    • 0039463527 scopus 로고
    • Poincaré spaces, their normal fibrations, and surgery
    • W. Browder, Poincaré spaces, their normal fibrations, and surgery, Invent. Math. 17 (1972), 191-202.
    • (1972) Invent. Math , vol.17 , pp. 191-202
    • Browder, W.1
  • 9
    • 0010531077 scopus 로고
    • Embeddings up to homotopy type and geometric suspensions of manifolds
    • F. Connolly and B. Williams, Embeddings up to homotopy type and geometric suspensions of manifolds, Quart. J. Math. 29 (1978), 385-401.
    • (1978) Quart. J. Math , vol.29 , pp. 385-401
    • Connolly, F.1    Williams, B.2
  • 10
    • 51249193349 scopus 로고
    • A generalization of the homology and homotopy suspension, Comment
    • T. Ganea, A generalization of the homology and homotopy suspension, Comment. Math. Helv. 39 (1965), 295-322.
    • (1965) Math. Helv , vol.39 , pp. 295-322
    • Ganea, T.1
  • 11
    • 0039463541 scopus 로고
    • Induced fibrations and cofibrations
    • T. Ganea, Induced fibrations and cofibrations, Trans. Amer. Math. Soc. 127 (1967), 442-459.
    • (1967) Trans. Amer. Math. Soc , vol.127 , pp. 442-459
    • Ganea, T.1
  • 12
    • 51249187994 scopus 로고
    • On the homotopy suspension, Comment
    • T. Ganea, On the homotopy suspension, Comment. Math. Helv. 43 (1968), 225-234.
    • (1968) Math. Helv , vol.43 , pp. 225-234
    • Ganea, T.1
  • 14
    • 0003354788 scopus 로고
    • Fibre Bundles
    • 2d ed, Springer-Verlag, New York
    • D. Husemoller, Fibre Bundles, 2d ed., Grad. Texts in Math. 20, Springer-Verlag, New York, 1975.
    • (1975) Grad. Texts in Math , vol.20
    • Husemoller, D.1
  • 16
    • 0040648907 scopus 로고
    • Relation between Postnikov classes
    • I. M. James, relation between Postnikov classes, Quart. J. Math. 17 (1966), 269-280.
    • (1966) Quart. J. Math , vol.17 , pp. 269-280
    • James, I.M.1
  • 17
    • 0001582867 scopus 로고
    • On the structure of Poincare duality spaces
    • N. Levitt, On the structure of Poincare duality spaces, Topology 7 (1968), 369-398.
    • (1968) Topology , vol.7 , pp. 369-398
    • Levitt, N.1
  • 18
    • 51249174322 scopus 로고
    • Equivalence of Toda-Hopf invariants, Israel
    • J. Moore and J. Neisendorfer, Equivalence of Toda-Hopf invariants, Israel J. Math. 66 (1989), 300-318.
    • (1989) J. Math , vol.66 , pp. 300-318
    • Moore, J.1    Neisendorfer, J.2
  • 19
    • 84966210166 scopus 로고
    • Surgery on Poincare and normal spaces
    • F. Quinn, Surgery on Poincare and normal spaces, Bull. Amer. Math. Soc. 78 (1972), 262-267.
    • (1972) Bull. Amer. Math. Soc , vol.78 , pp. 262-267
    • Quinn, F.1
  • 20
    • 84960606679 scopus 로고
    • The algebraic theory of surgery, II: Applications to topology
    • A. Ranicki, The algebraic theory of surgery, II: Applications to topology, Proc. London Math. Soc. (3) 40 (1980), 193-283.
    • (1980) Proc. London Math. , vol.40 , Issue.3 , pp. 193-283
    • Ranicki, A.1
  • 21
    • 21844494369 scopus 로고
    • The H-space squaring map on Ω3S4n+1 factors through the double suspension
    • 4n+1 factors through the double suspension, Proc. Amer. Math. Soc. 123 (1995), 3889-3900.
    • (1995) Proc. Amer. Math. Soc , vol.123 , pp. 3889-3900
    • Richter, W.1
  • 22
    • 84966247355 scopus 로고
    • High-dimensional knots with π1= Z knots are determined by their complements in onemore dimension than Fărber’s range
    • 1= Z knots are determined by their complements in one more dimension than Fărber’s range, Proc. Amer. Math. Soc. 120 (1994), 285-294.
    • (1994) Proc. Amer. Math. Soc , vol.120 , pp. 285-294
    • Richter, W.1
  • 24
    • 51249192062 scopus 로고
    • The homotopy category is a homotopy category
    • A. Strom, The homotopy category is a homotopy category, Arch. Math. (Basel) 23 (1972), 435-441.
    • (1972) Arch. Math. (Basel) , vol.23 , pp. 435-441
    • Strom, A.1
  • 26
    • 0003266356 scopus 로고
    • Elements of Homotopy Theory
    • Springer-Verlag, New York
    • G. W. Whitehead, Elements of Homotopy Theory, Grad. Texts in Math. 61, Springer-Verlag, New York, 1978.
    • (1978) Grad. Texts in Math , vol.61
    • Whitehead, G.W.1
  • 27
    • 0038870720 scopus 로고
    • Applications of unstable normal invariants, I
    • New York
    • B. Williams, Applications of unstable normal invariants, I, Compositio Math. 38 (1979), 55-66. New York, 1978.
    • (1979) Compositio Math , vol.38 , pp. 55-66
    • Williams, B.1
  • 28
    • 0040055376 scopus 로고
    • Hopf invariants, localization, and embeddings of Poincare complexes
    • B. Williams, Hopf invariants, localization, and embeddings of Poincare complexes, Pacific J. Math. 84 (1979), 217-224.
    • (1979) Pacific J. Math , vol.84 , pp. 217-224
    • Williams, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.