The Goodwillie tower for S[superscript 1] and Kuhn's Theorem
Author(s)
Behrens, Mark Joseph
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Alternative title
The Goodwillie tower for S¹ and Kuhn's Theorem
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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 form of the Whitehead conjecture: the Whitehead sequence is a contracting homotopy for the Goodwillie tower of S¹ at the prime 2.
Date issued
2011-09Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Algebraic & Geometric Topology
Publisher
Mathematical Sciences Publishers
Citation
Behrens, Mark. “The Goodwillie Tower for S¹ and Kuhn’s Theorem.” Algebraic & Geometric Topology 11.4 (2011): 2453–2475. Web.
Version: Author's final manuscript
ISSN
1472-2747
1472-2739