Gottlieb groups of spheres

dc.creatorGolasinski, Marek
dc.creatorMukai, Juno
dc.date2004-08-19
dc.date.accessioned2026-07-07T05:11:23Z
dc.date.available2026-07-07T05:11:23Z
dc.descriptionThis paper takes up the systematic study of the Gottlieb groups $G_{n+k}(§^n)$ of spheres for $k\le 13$ by means of the classical homotopy theory methods. The groups $G_{n+k}(§^n)$ for $k\le 7$ and $k=10,12,13$ are fully determined. Partial results on $G_{n+k}(§^n)$ for $k=8,9,11$ are presented as well. We also show that $[ι_n,η^2_nσ_{n+2}]=0$ if $n=2^i-7$ for $i\ge 4$.
dc.description38 pages
dc.identifierhttps://arxiv.org/abs/math/0408256
dc.identifierhttp://arxiv.org/abs/math/0408256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72224
dc.subjectAlgebraic Topology
dc.subjectPrimary 55M35, 55Q52; Secondary 57S17
dc.titleGottlieb groups of spheres
dc.typetext

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