On the group of self-homotopy equivalences of an almost formal space

DOI10.2989/16073606.2022.2044405zbMath1519.55005OpenAlexW4220872516MaRDI QIDQ6110359

Mahmoud Benkhalifa

Publication date: 5 July 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2022.2044405

zbMATH Keywords

Sullivan modelQuillen modelgroup of self-homotopy equivalencesalmost formalpure rationally elliptic space

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15)

Related Items (4)

Note on the \(F_{0}\)-spaces ⋮ On the realisability problem of groups for Sullivan algebras ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Homotopie rationelle: modèles de Chen, Quillen, Sullivan
• Localization and completion of nilpotent groups of automorphisms
• Formal differential graded algebras and homomorphisms
• The effect of cell-attachment on the group of self-equivalences of an elliptic space
• The group of self-homotopy equivalences of a rational space cannot be a free abelian group
• On the group of self-homotopy equivalences of an elliptic space
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