The group of homotopy self-equivalences of non-simply-connected spaces using Postnikov decompositions

DOI10.1017/S0308210500014979zbMath0747.55004OpenAlexW4251285412MaRDI QIDQ3991032

John W. Rutter

Publication date: 28 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500014979

zbMATH Keywords

Eilenberg-MacLane spaceshomotopy self-equivalencesPostnikov decomposition

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Eilenberg-Mac Lane spaces (55P20) Postnikov systems, (k)-invariants (55S45)

Related Items (3)

Discrimination as the touchstone of persecution in refugee law ⋮ The group of homotopy self-equivalences of non-simply-connected spaces using Postnikov decompositions II ⋮ \(PD_{4}\)-complexes with strongly minimal models

Cites Work

• Homotopie de l'espace des équivalences d'homotopie fibrées
• Homotopy equivalences in a principal fiber space
• A homotopy classification of maps into an induced fibre space
• Groups of self homotopy equivalences of induced spaces
• Obstruction theory in fiber spaces
• The group homotopy self-equivalences of some compact CW-complexes
• The group of homotopy self-equivalence classes of CW complexes
• The group of homotopy self-equivalence classes using an homology decomposition
• On the group ${\mathcal E}\left[ X \right$ of homotopy equivalence maps]
• Self-Equivalences and Principal Morphisms
• Whitney-sums (fibre-joins) in over space theory and obstruction theory for cohomology with local coefficients

This page was built for publication: The group of homotopy self-equivalences of non-simply-connected spaces using Postnikov decompositions