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On the v₁-periodicity of the Moore space

Author(s)
Panchev, Lyuboslav(Lyuboslav Nikolaev)
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Massachusetts Institute of Technology. Department of Mathematics.
Advisor
Haynes Miller.
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MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission. http://dspace.mit.edu/handle/1721.1/7582
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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).
 
Date issued
2019
URI
https://hdl.handle.net/1721.1/123423
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Massachusetts Institute of Technology
Keywords
Mathematics.

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