Theories of bundles with additional homotopy conditions

A.V. Ershov

Theories of bundles with additional homotopy conditions

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arxiv 0804.1119 v3 pith:2RSIDJJA submitted 2008-04-07 math.KT math.AT

A.V. Ershov This is my paper · ORCID

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keywords bundlessomeconditionshomotopyspaceadditionalalgebrasclassifying

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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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