FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 8, PAGES 77-98

Theories of bundles with additional structures

A. V. Ershov

Abstract

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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.

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