Realization problems for the group of homotopy classes of self- equivalences

DOI10.1007/BF01354527zbMath0305.55016MaRDI QIDQ1217375

Donald W. Kahn

Publication date: 1976

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162803

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Homotopy groups, general; sets of homotopy classes (55Q05) Stable homotopy groups (55Q10)

Related Items (14)

On some topological realizations of groups and homomorphisms ⋮ Realization of 2-solvable nilpotent groups as groups of classes of homotopy self-equivalences ⋮ The Rigidity Problem for Stable Spaces ⋮ The group of self-homotopy equivalences of a rational space cannot be a free abelian group ⋮ The stable group of self-homotopy equivalences of sphere bundles over the sphere ⋮ Topological realizations of groups in Alexandroff spaces ⋮ The ring of stable homotopy classes of self-maps of \(A_n^2\)-polyhedra ⋮ Every finite group is the group of self-homotopy equivalences of an elliptic space ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Homotopically rigid Sullivan algebras and their applications ⋮ On the realizability of group actions ⋮ The group of self-homotopy equivalences of \(A_n^2\)-polyhedra ⋮ Realisability problem in arrow categories

Cites Work

• The group of homotopy equivalences
• The group of stable self-equivalences
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• The group of homotopy equivalences of a space
• Induces Maps for Postnikov Systems

This page was built for publication: Realization problems for the group of homotopy classes of self- equivalences