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 -dimensional oriented vector bundles () over CW-complexes of dimension with prescribed Stiefel-Whitney classes , and Pontrjagin class 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.