Theories of bundles with additional homotopy conditions

Details Theories of bundles with additional homotopy conditions Theories of bundles with additional homotopy conditions

2008-04-07

arxiv.org/abs/0804.1119v3

Mathematics

K-Theory and Homology

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

Scientific paper

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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