Haefliger structures and linear homotopy
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- by Javier Bracho PDF
- Trans. Amer. Math. Soc. 282 (1984), 529-538 Request permission
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
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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.
- 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
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- John Milnor, The geometric realization of a semi-simplicial complex, Ann. of Math. (2) 65 (1957), 357–362. MR 84138, DOI 10.2307/1969967
- Graeme Segal, Classifying spaces and spectral sequences, Inst. Hautes Études Sci. Publ. Math. 34 (1968), 105–112. MR 232393
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 282 (1984), 529-538
- MSC: Primary 57R32; Secondary 18G30, 54F99, 55R15, 55U40
- DOI: https://doi.org/10.1090/S0002-9947-1984-0732104-3
- MathSciNet review: 732104