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Title: On the existence of 2-fields in 8-dimensional vector bundles over 8-complexes (English)
Author: Čadek, Martin
Author: Vanžura, Jiří
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 36
Issue: 2
Year: 1995
Pages: 377-394
Category: math
Summary: Necessary and sufficient conditions for the existence of two linearly independent sections in an 8-dimensional spin vector bundle over a CW-complex of the same dimension are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed. (English)
Keyword: span of the vector bundle
Keyword: classifying spaces for spinor groups
Keyword: characteristic classes
Keyword: Postnikov tower
Keyword: secondary cohomology operation
MSC: 55R25
MSC: 57R22
MSC: 57R25
idZBL: Zbl 0921.57016
idMR: MR1357537
Date available: 2009-01-08T18:18:40Z
Last updated: 2012-04-30
Stable URL:
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