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Locally trivial homotopy functors and their domain of representation

Published online by Cambridge University Press:  09 April 2009

Michael D. Alder
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, W. A. 6009.
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Abstract

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The well known theorem of E. H. Brown on the representation of Homotopy Functors is extended to a larger domain category. This is accomplished by requiring the functor to satisfy a further condition, that of being locally trivial: the condition is both necessary and sufficient for the extension and is satisfied by functors arising from locally trivial fibre bundles such as K-theory.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1976

References

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