On the existence of the self map v_2^9 on the Smith-Toda complex V(1) at the prime 3

dc.creatorBehrens, Mark
dc.creatorPemmaraju, Satya
dc.date2003-03-18
dc.date.accessioned2026-07-07T04:56:10Z
dc.date.available2026-07-07T04:56:10Z
dc.descriptionLet V(1) be the Smith-Toda complex at the prime 3. We prove that there exists a map v_2^9: Σ^{144}V(1) \to V(1) that is a K(2) equivalence. This map is used to construct various v_2-periodic infinite families in the 3-primary stable homotopy groups of spheres.
dc.description41 pages, 6 figures, submitted to proceedings of the Northwestern University conference on algebraic topology, March 2002
dc.identifierhttps://arxiv.org/abs/math/0303223
dc.identifierhttp://arxiv.org/abs/math/0303223
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66825
dc.subjectAlgebraic Topology
dc.subject55Q51; 55Q45, 55T15
dc.titleOn the existence of the self map v_2^9 on the Smith-Toda complex V(1) at the prime 3
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