On the group of self-homotopy equivalences of \((n+1)\)-connected and \((3n+2)\)-dimensional CW-complex

DOI10.1016/j.topol.2017.10.018zbMath1378.55004OpenAlexW2765429900MaRDI QIDQ1680125

Mahmoud Benkhalifa

Publication date: 22 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.10.018

zbMATH Keywords

Whitehead exact sequenceAnick modelgroup of self-homotopy equivalencesstrong automorphism

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Rational homotopy theory (55P62) Homotopy groups of special spaces (55Q52)

Related Items (3)

On the group of self-homotopy equivalences of a 1-connected and 5-dimensional CW-complex ⋮ On the homotopy types of 2-connected and 6-dimensional CW-complexes ⋮ On the group of self-homotopy equivalences of an elliptic space

Cites Work

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• Spaces of homotopy self-equivalences. A survey
• Postnikov decomposition and the group of self-equivalences of a rationalized space
• On the group of self-equivalences of a mapping cone
• A certain exact sequence
• On the Homotopy Classification of the Extensions of a Fixed Map
• The group of homotopy self-equivalence classes of CW complexes
• A Note on the Nilpotency of Subgroups of Self-Homotopy Equivalences
• WHITEHEAD EXACT SEQUENCE AND DIFFERENTIAL GRADED FREE LIE ALGEBRA
• Hopf Algebras up to Homotopy
• Self-equivalences of (𝑛-1)-connected 2𝑛-manifolds

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