The Goodwillie tower for S[superscript 1] and Kuhn's Theorem
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چکیده
The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We analyze the homological behavior of the attaching maps in the 2-local Good-willie tower of the identity evaluated at S 1. 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 S 1 at the prime 2.
منابع مشابه
The Goodwillie tower for S1 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 form of the Whitehead conjecture: the Whitehead sequence is a contracting homotopy for the Goodwillie...
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