The Goodwillie tower for S[superscript 1] and Kuhn's Theorem

We analyze the homological behavior of the attaching maps in the 2–local Goodwillie tower of the identity evaluated at S¹. We show that they exhibit the same homological behavior as the James–Hopf maps used by N Kuhn to prove the 2–primary Whitehead conjecture. We use this to prove a calculus for...

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Bibliographic Details
Main Author: Behrens, Mark Joseph
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Mathematical Sciences Publishers 2012
Online Access:http://hdl.handle.net/1721.1/70018