Unstable Modules with Only the Top k Steenrod Operations

We study an abelian category of unstable modules with the top k Steenrod operations at the prime 2. We show that this category has homological dimension at most k. We establish forgetful functors, suspension functors, loop functors and Frobenius functors between such modules. The forgetful functors...

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Bibliographic Details
Main Author: Li, Zhulin
Other Authors: Miller, Haynes R.
Format: Thesis
Published: Massachusetts Institute of Technology 2022
Online Access:https://hdl.handle.net/1721.1/139023
https://orcid.org/0000-0003-1376-4678