Gottlieb groups of spheres

Marek Golasinski; Juno Mukai

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arXiv · math/0408256

Gottlieb groups of spheres

Marek Golasinski·Juno Mukai

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Abstract

This 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 $i\ge 4$.

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BibTeX RIS

Marek Golasinski, Juno Mukai. 2004-08-19. Gottlieb groups of spheres. https://arxiv.org/abs/math/0408256

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