Theories of bundles with additional homotopy conditions

2008/04/07 by A. V. Ershov, Ershov, A. V.
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AT #math.KT

paper · pdf · doi:10.48550/arxiv.0804.1119

22 pages; v3: a new material in subsections 1.4. and 1.5. is added, minor changes and corrections

arxiv created 2008/08/31 · arxiv updated 2009/12/01

Abstract

In the present paper we study bundles equipped with extra homotopy conditions, in particular so-called simplicial n-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.

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