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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Applications of bundle map theory

Author: Daniel Henry Gottlieb
Journal: Trans. Amer. Math. Soc. 171 (1972), 23-50
MSC: Primary 55F10
MathSciNet review: 0309111
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Abstract: This paper observes that the space of principal bundle maps into the universal bundle is contractible. This fact is added to I. M. James' Bundle map theory which is slightly generalized here. Then applications yield new results about actions on manifolds, the evaluation map, evaluation subgroups of classifying spaces of topological groups, vector bundle injections, the Wang exact sequence, and $ H$-spaces.

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PII: S 0002-9947(1972)0309111-X
Keywords: Fibre bundle map, evaluation subgroup, characteristic classes of manifolds, evaluation map, Wang exact sequence, $ H$-spaces
Article copyright: © Copyright 1972 American Mathematical Society

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