Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 57R32, 18G30, 54F99, 55R15, 55U40

Retrieve articles in all journals with MSC: 57R32, 18G30, 54F99, 55R15, 55U40

Additional Information

PII: S 0002-9947(1984)0732104-3
Article copyright: © Copyright 1984 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia