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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Homology tangent bundles and universal bundles


Author: Daniel Henry Gottlieb
Journal: Proc. Amer. Math. Soc. 36 (1972), 246-252
MSC: Primary 57A65
MathSciNet review: 0307244
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Abstract: We find results about the evaluation map from the group of homeomorphisms of a closed manifold M and also about fibre bundles where M is the fibre. These facts follow from the observation that the homology tangent bundle is induced from a universal bundle pair.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0307244-0
Keywords: Homology tangent bundle, classifying bundle, Euler class, characteristic classes, topological manifolds, actions
Article copyright: © Copyright 1972 American Mathematical Society