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Locally trivial homotopy functors and their domain of representation
Published online by Cambridge University Press: 09 April 2009
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.
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- Copyright © Australian Mathematical Society 1976
References
Brown, E. H. (1965), ‘Abstract Homotopy Theory’, Trans. Am. Math. Soc. 119, 79–85.CrossRefGoogle Scholar
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Dold, A. (1966), ‘Halbexakte Homotopiefunktoren’, Springer Lecture Note Series No. 12.Google Scholar
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