Self-homotopy equivalences which induce the identity on homology, cohomology or homotopy groups

DOI10.1016/S0166-8641(97)00162-4zbMath0929.55008OpenAlexW2061217731MaRDI QIDQ1295246

Ken-ichi Maruyama, Martin Arkowitz

Publication date: 25 January 2000

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00162-4

zbMATH Keywords

Moore spaceshomotopy-self-equivalencesPoincaré duality complexes

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Poincaré duality spaces (57P10)

Related Items (11)

Length of a chain composed by certain monoids of self maps ⋮ Equivariant self-homotopy equivalences of product spaces ⋮ Monoids related to self homotopy equivalences of fibred product ⋮ SELF-HOMOTOPY EQUIVALENCES OF MOORE SPACES DEPENDING ON COHOMOTOPY GROUPS ⋮ The effect of cell-attachment on the group of self-equivalences of an \(R\)-localized space ⋮ SUBQUOTIENTS OF A FINITE PRODUCT AND THEIR SELF-HOMOTOPY EQUIVALENCES ⋮ Certain numbers on the groups of self-homotopy equivalences ⋮ Self-closeness numbers of finite cell complexes ⋮ Certain subgroups of groups of self-pair homotopy equivalences ⋮ On the group \(aut_\sharp(X_{1} \times \ldots \times X_{n})\) ⋮ Factorization of units and groups of stable homotopy equivalences

Cites Work

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• Function spaces and duality
• Localization of a certain subgroup of self-homotopy equivalences
• On the group of self-equivalences of the product of spheres
• Twisted self-homotopy equivalences
• A certain exact sequence
• The group of homotopy self-equivalence classes of CW complexes
• Rational homotopy theory and differential forms

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