Homology, Homotopy and Applications

Homology with local coefficients and characteristic classes

Robert Greenblatt

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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 $BSO(n)$.

Article information

Homology Homotopy Appl., Volume 8, Number 2 (2006), 91-103.

First available in Project Euclid: 5 April 2007

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 55R25: Sphere bundles and vector bundles 55R40: Homology of classifying spaces, characteristic classes [See also 57Txx, 57R20]

Local cohomology characteristic classes


Greenblatt, Robert. Homology with local coefficients and characteristic classes. Homology Homotopy Appl. 8 (2006), no. 2, 91--103. https://projecteuclid.org/euclid.hha/1175791075

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