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.

Last modified

• 11/24/2019

Creator

• Johan W T Konter

DOI

• https://doi.org/10.21985/n2-96jq-2784

Subject

• Mathematics

Keyword

• spectral sequences
• Goodwillie calculus
• Adams resolution
• power operations

Date created

• 2018-01-01

Resource type

• Dissertation

Rights statement

• In Copyright