Theories of bundles with additional homotopy conditions

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

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K-Theory and Homology, Algebraic Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/167963

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.1119
 http://arxiv.org/abs/0804.1119

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arXiv