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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Oprea, John, Tanré, Daniel (2005)
International Journal of Mathematics and Mathematical Sciences
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Gompf, Robert E. (1997)
Geometry & Topology
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Klimek-Chudy, Sławomir, Kondracki, Witold III
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Martin Čadek, Jiří Vanžura (1993)
Czechoslovak Mathematical Journal
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Stefano De Michelis (1991)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We study secondary obstructions to representing a line bundle as the pull-back of a line bundle on and we interpret them geometrically.
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.