369 citations
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math.AT2008
A guide to telescopic functors
Nicholas J. Kuhn
In the mid 1980's, Pete Bousfield and I constructed certain p--local `telescopic' functors Phi_n from spaces to spectra, for each prime p and each positive integer n. These have st…
math.AT2004
Mapping spaces and homology isomorphisms
Nicholas J. Kuhn
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…
math.AT2003★ 1 cited
Localization of Andre-Quillen-Goodwillie towers, and the periodic homology of infinite loopspaces
Nicholas J. Kuhn
Let K(n) be the nth Morava K--theory at a prime p. This paper is a thorough study of questions like the following: to what extent does the K(n)--localization, or the K(n)--homology…