On the group of self-equivalences of a mapping cone

zbMath0284.55013MaRDI QIDQ1845238

Shichiro Oka, Norichika Sawashita, Masahiro Sugawara

Publication date: 1974

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (15)

The group of self-homotopy equivalences of \(S^ 2\)-bundles over \(S^ 4\). I ⋮ The group of self-homotopy equivalences of \(S^ 2\)-bundles over \(S^ 4\). II: applications ⋮ Self-homotopy equivalences and cofibrations ⋮ Stable self-homotopy equivalences ⋮ On the group of self-homotopy equivalences of \((n+1)\)-connected and \((3n+2)\)-dimensional CW-complex ⋮ Equivariant self-homotopy equivalences of product spaces ⋮ The stable group of self-homotopy equivalences of sphere bundles over the sphere ⋮ The group of self-homotopy equivalences of the \(m\)-fold smash product of a space ⋮ Finiteness properties of self-equivalence groups of rational \(co\)-\(H\)- spaces ⋮ Homotopy type of gauge groups of quaternionic line bundles over spheres ⋮ The group of homotopy self equivalences of a union of \((n-1)\)-connected \(2n\)-manifolds ⋮ On the self-homotopy equivalences of the wedge of certain complexes ⋮ On the homotopy type of CW complexes with the form \(S^ 2\cup e^ 4\cup e^ 6\) ⋮ Self maps of \(\Sigma ^ k{\mathbb{C}}P^ 3\) for k\(\geq 1\) ⋮ Homotopy types of connected sums of spherical fibre spaces over spheres

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