Theories of bundles with additional structures

A. V. Ershov

Saratov State University named after N. G. Chernyshevsky

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

UDC: 515.165

 English version: Journal of Mathematical Sciences (New York), 2009, 159:6, 799–814

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