On the v₁-periodicity of the Moore space
Name
1135057708-MIT.pdf
Size
1.95 MB
Format
Adobe PDF
Checksum (MD5)
e7c9f902c5993470befd79651e9733a4
Author(s)
Panchev, Lyuboslav(Lyuboslav Nikolaev)
Advisor(s)
Haynes Miller.
Date Issued
2019
Publisher
Massachusetts Institute of Technology
Abstract
We present progress in trying to verify a long-standing conjecture by Mark Mahowald on the v₁-periodic component of the classical Adams spectral sequence for a Moore space M. The approach we follow was proposed by John Palmieri in his work on the stable category of A-comodules. We improve on Palmieri's work by working with the endomorphism ring of M - End(M), thus resolving some of the initial difficulties of his approach and formulating a conjecture of our own that would lead to Mahowald's formulation. We further improve upon a method for calculating differentials via double filtration first used by Miller and apply it to our problem.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2019
Cataloged from PDF version of thesis.
Includes bibliographical references (page 36).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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