On the group of self-homotopy equivalences of an elliptic space

DOI10.1090/proc/14900zbMath1437.55012arXiv1910.07384OpenAlexW2982447810WikidataQ126860565 ScholiaQ126860565MaRDI QIDQ4959744

Mahmoud Benkhalifa

Publication date: 7 April 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.07384

zbMATH Keywords

Whitehead exact sequenceSullivan modelelliptic spacesQuillen modelgroup of homotopy self-equivalences

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Rational homotopy theory (55P62) Postnikov systems, (k)-invariants (55S45)

Related Items (13)

On the Euler-Poincaré characteristics of a simply connected rationally elliptic CW-complex ⋮ The effect of cell-attachment on the group of self-equivalences of an elliptic space ⋮ On the group of self-homotopy equivalences of an almost formal space ⋮ Rational homotopy theory methods in graph theory ⋮ On the group of self-homotopy equivalences of a 1-connected and 5-dimensional CW-complex ⋮ The group of self-homotopy equivalences of a rational space cannot be a free abelian group ⋮ Note on the \(F_{0}\)-spaces ⋮ On the homotopy types of 2-connected and 6-dimensional CW-complexes ⋮ On the group of self-homotopy equivalence of a formal \(F_0\)-space ⋮ On the realisability problem of groups for Sullivan algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• CARDINALITY OF RATIONAL HOMOTOPY TYPES OF SIMPLY CONNECTED CW COMPLEXES
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