Nilpotency of self homotopy equivalences with coefficients

DOI10.5802/aif.2604zbMath1221.55008arXivmath/0703876OpenAlexW1564973666MaRDI QIDQ538797

Antonio Viruel, Aniceto Murillo-Mas, Cuvilliez, Maxence

Publication date: 26 May 2011

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703876

zbMATH Keywords

nilpotencyself-homotopy equivalencespace with local coefficients

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Localization and completion in homotopy theory (55P60) Homotopy groups of special spaces (55Q52) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (3)

The homotopy automorphisms of a marked n-stage ⋮ Unnamed Item ⋮ The group of self homotopy equivalences of some localized aspherical complexes

Cites Work

• Unipotency and nilpotency in homotopy equivalences
• Spaces of sections of Eilenberg-MacLane fibrations
• Localization of a certain subgroup of self-homotopy equivalences
• Nilpotent subgroups of the group of self-homotopy equivalences
• Applications of minimal simplicial groups
• Obstruction theory on homotopy classification of maps
• Infinitesimal computations in topology
• Self-homotopy equivalences of \(H_*(-;Z/p)\)-local spaces
• Self homotopy equivalences of virtually nilpotent spaces
• Variation zum Konzept der Lusternik—Schnirelmann—Kategorie
• Cohomology Operations with Local Coefficients
• k-Invariants in Local Coefficient Theory
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