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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Haefliger structures and linear homotopy


Author: Javier Bracho
Journal: Trans. Amer. Math. Soc. 282 (1984), 529-538
MSC: Primary 57R32; Secondary 18G30, 54F99, 55R15, 55U40
MathSciNet review: 732104
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Abstract: The notion of linear-homotopy into a classifying space is introduced and used to give a precise classification of Haefliger structures. Appendix on the product theorem for simplicial spaces and realizations of bisimplicial spaces.


References [Enhancements On Off] (What's this?)

  • [B] J. Bracho, Strong classification of Haefliger Structures; some geometry of BG, Proc. Adem's Internat. Topology Sympos., Oaxtepec, Amer. Math. Soc., Providence, R. I., 1981.
  • [H] André Haefliger, Homotopy and integrability, Manifolds–Amsterdam 1970 (Proc. Nuffic Summer School), Lecture Notes in Mathematics, Vol. 197, Springer, Berlin, 1971, pp. 133–163. MR 0285027 (44 #2251)
  • [Hu] Sze-tsen Hu, Elements of general topology, Holden-Day, Inc., San Francisco, Calif.-London-Amsterdam, 1964. MR 0177380 (31 #1643)
  • [M] John Milnor, The geometric realization of a semi-simplicial complex, Ann. of Math. (2) 65 (1957), 357–362. MR 0084138 (18,815d)
  • [S] Graeme Segal, Classifying spaces and spectral sequences, Inst. Hautes Études Sci. Publ. Math. 34 (1968), 105–112. MR 0232393 (38 #718)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1984-0732104-3
PII: S 0002-9947(1984)0732104-3
Article copyright: © Copyright 1984 American Mathematical Society