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2006 Homology with local coefficients and characteristic classes
Robert Greenblatt
Homology Homotopy Appl. 8(2): 91-103 (2006).

Abstract

In this thesis, we are concerned with the study of cohomology with local coefficients and applications to (non-orientable) real vector bundles. The thesis consists of an introduction and three separate sections. The introduction gives some motivation for considering cohomology with local coefficients and an outline of the results obtained. The first section deals with a general discussion of such cohomology groups and contains a Künneth Theorem for such groups. The second section is devoted to some computations which are needed later and the final section gives a complete description of the integral cohomology of the spaces $BO(n)$ and $BSO(n)$.

Citation

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Robert Greenblatt. "Homology with local coefficients and characteristic classes." Homology Homotopy Appl. 8 (2) 91 - 103, 2006.

Information

Published: 2006
First available in Project Euclid: 5 April 2007

zbMATH: 1107.55003
MathSciNet: MR2246023

Subjects:
Primary: 55R25, 55R40

Rights: Copyright © 2006 International Press of Boston

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Vol.8 • No. 2 • 2006
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