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سند علمی

Mapping Spaces and Homology Isomorphisms

NICHOLAS J. KUHN, N. J. KUHN

چکیده

Let Map(K,X) denote the space of pointed continuous maps from a finite cell complex K to a space X. Let E∗ be a generalized homology theory. We use Goodwillie calculus methods to prove that under suitable conditions on K and X, Map(K,X) will send an E∗–isomorphism in either variable to a map that is monic in E∗ homology. Interesting examples arise by letting E∗ be K–theory, the finite complex K be a sphere, and the map in the X variable be an exotic unstable Adams map between Moore spaces.

اسناد مشابه

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