On the classification of oriented vector bundles over 9-complexes

Čadek, Martin; Vanžura, Jiří

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On the classification of oriented vector bundles over 5-complexes

Martin Čadek, Jiří Vanžura (1993)

Czechoslovak Mathematical Journal

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Flat circle bundles, pullbacks, and the circle made discrete.

Oprea, John, Tanré, Daniel (2005)

International Journal of Mathematics and Mathematical Sciences

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On oriented vector bundles over CW-complexes of dimension 6 and 7

Martin Čadek, Jiří Vanžura (1992)

Commentationes Mathematicae Universitatis Carolinae

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Necessary and sufficient conditions for the existence of $n$ -dimensional oriented vector bundles ( $n = 3, 4, 5$ ) over CW-complexes of dimension $\leq 7$ with prescribed Stiefel-Whitney classes $w_{2} = 0$ , $w_{4}$ and Pontrjagin class $p_{1}$ are found. As a consequence some results on the span of 6 and 7-dimensional oriented vector bundles are given in terms of characteristic classes.

Converting compact and fibrations into locally trivial bundles with compact manifolds as fibres

D. Burghelea (1983)

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