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math.AT2004
Goodwillie towers and chromatic homotopy: an overview
Nicholas J Kuhn
This paper is based on talks I gave in Nagoya and Kinosaki in August of 2003. I survey, from my own perspective, Goodwillie's work on towers associated to continuous functors betwe…
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…