Self-Homotopy-Equivalences of a Space with Two Nonvanishing Homotopy Groups

DOI10.2307/2042402zbMath0389.55014OpenAlexW4235760147MaRDI QIDQ4171303

Kouzou Tsukiyama

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2042402

zbMATH Keywords

self-homotopy-equivalences of a space with two nonvanishing homotopy groups

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Homotopy groups, general; sets of homotopy classes (55Q05)

Related Items (9)

On the spaces of self homotopy equivalences for fibre spaces. II ⋮ Self-maps on twisted Eilenberg-MacLane spaces ⋮ On the group \(\epsilon(K(\pi,1)\times X)\) for 1-connected CW-complexes \(X\) ⋮ Self-homotopy equivalences of group cohomology spaces ⋮ On the homotopy types of closed 4-manifolds covered by \(S^ 2\times\mathbb{R}^ 2\) ⋮ Finiteness properties of self-equivalence groups of rational \(co\)-\(H\)- spaces ⋮ Strongly minimal \(PD_4\)-complexes ⋮ \(PD_4\)-complexes and 2-dimensional duality groups ⋮ Homotopie de l'espace des équivalences d'homotopie fibrées

Cites Work

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• Homotopy equivalences in a principal fiber space
• Obstruction theory in fiber spaces
• The group homotopy self-equivalences of some compact CW-complexes
• Homotopy Trees with Trivial Classifying Ring
• On the group ${\mathcal E}\left[ X \right$ of homotopy equivalence maps]
• Homotopy classification of \((\pi,m)\)-complexes

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