Finiteness properties of self-equivalence groups of rational \(co\)-\(H\)- spaces

DOI10.1007/BF02567745zbMath0762.55011MaRDI QIDQ1201420

Ken-ichi Maruyama

Publication date: 17 January 1993

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155738

zbMATH Keywords

homologyself-homotopy equivalencesrational homotopynilpotent complexco-\(H_ 0\)-space

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Rational homotopy theory (55P62) (H)-spaces and duals (55P45)

Cites Work

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• Unipotency and nilpotency in homotopy equivalences
• Localization of a certain subgroup of self-homotopy equivalences
• Applications of minimal simplicial groups
• On the group of self-equivalences of a mapping cone
• On the Homotopy Classification of the Extensions of a Fixed Map
• Self-Homotopy-Equivalences of a Space with Two Nonvanishing Homotopy Groups
• The Hurewicz Homomorphism and Finite Homotopy Invariants
• STABLE HOMOTOPY OF SOME ELEMENTARY COMPLEXES
• Localization of seif-homotopy equivalences inducing the identity on homology

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