On the v₁-periodicity of the Moore space
Author(s)Panchev, Lyuboslav(Lyuboslav Nikolaev)
Massachusetts Institute of Technology. Department of Mathematics.
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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.
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2019Cataloged from PDF version of thesis.Includes bibliographical references (page 36).
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology