Theories of bundles with additional homotopy conditions
K-Theory and Homology
2008-08-31 v3 Algebraic Topology
Abstract
In the present paper we study bundles equipped with extra homotopy conditions, in particular so-called simplicial -bundles. It is shown that (under some condition) the classifying space of 1-bundles is the double coset space of some finite dimensional Lie group. We also establish some relation between our bundles and C*-algebras.
Keywords
Cite
@article{arxiv.0804.1119,
title = {Theories of bundles with additional homotopy conditions},
author = {A. V. Ershov},
journal= {arXiv preprint arXiv:0804.1119},
year = {2008}
}
Comments
22 pages; v3: a new material in subsections 1.4. and 1.5. is added, minor changes and corrections