Some weak equivalences for classifying spaces

Author:
Solomon M. Jekel

Journal:
Proc. Amer. Math. Soc. **90** (1984), 469-476

MSC:
Primary 57R32; Secondary 55P10

MathSciNet review:
728371

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Abstract: For topological categories with fractions we give a model for the loops on the classifying space as a simplicial group which generalizes the fact that when is a topological group. This construction is applied to give some well-known, and some new, examples of weak equivalences between classifying spaces arising in the theory of foliations.

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DOI:
https://doi.org/10.1090/S0002-9939-1984-0728371-8

Article copyright:
© Copyright 1984
American Mathematical Society