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The Goodwillie Tower of Infinite Loops as Derived Functors

Description:

We compare two different methods to compute the mod 2 homology of an infinite loop space. One method is to approximate the infinite loop functor using functor calculus. The other is to approximate the spectrum using an Adams resolution. We show that these two ways lead to isomorphic spectral sequences....

Keyword:

spectral sequences, Goodwillie calculus, Adams resolution, and power operations

Subject:

Mathematics

Creator:

Johan W T Konter

Owner:

Scholarly Digital Publishing

Date Uploaded:

11/24/2019

Date Modified:

11/24/2019

Date Created:

2018-01-01

Resource Type:

Dissertation