On oriented vector bundles over CW-complexes of dimension 6 and 7
Čadek, Martin ; Vanžura, Jiří
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992), p. 727-736 / Harvested from Czech Digital Mathematics Library
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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 $\le 7$ 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.

Publié le : 1992-01-01
Classification:  55R25,  57R20,  57R22,  57R25 
@article{118545,
     author = {Martin \v Cadek and Ji\v r\'\i\ Van\v zura},
     title = {On oriented vector bundles over CW-complexes of dimension 6 and 7},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {33},
     year = {1992},
     pages = {727-736},
     zbl = {0790.57016},
     mrnumber = {1240195},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118545}
}

Čadek, Martin; Vanžura, Jiří. On oriented vector bundles over CW-complexes of dimension 6 and 7. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 727-736. http://gdmltest.u-ga.fr/item/118545/

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