An algebraic model for \(G\)-simple homotopy types

DOI10.1007/BF01450698zbMath0564.55010MaRDI QIDQ1058192

Georgia Visnjic Triantafillou, Mel Rothenberg

Publication date: 1984

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163937

zbMATH Keywords

actions on spheresintegral structurealgebraic models for G-complexesequivariant differential graded Lie algebrasfinite G-complexesfiniteness result for G-simple homotopy typesG-homotopy typesLie minimal modelsemilinear finite group actionstorsion bound

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Finite transformation groups (57S17) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Equivariant homotopy theory in algebraic topology (55P91)

Related Items (5)

Equivariant Homology Decompositions ⋮ On injective rational coefficient systems ⋮ Rational 𝑆¹-equivariant homotopy theory ⋮ On rational equivariant \(H\)-spaces ⋮ Loop space homology -- problems and questions

Cites Work

• On the chain algebra of a loop space
• Arithmetic subgroups of algebraic groups
• Rationalization of Hopf G-spaces
• Infinitesimal computations in topology
• Lie algebras, coalgebras and rational homotopy theory for nilpotent spaces
• Equivariant cohomology theories
• Rational homotopy theory
• Homotopy limits, completions and localizations
• Equivariant Minimal Models
• Systems of Fixed Point Sets
• Norms of Units in Group Rings
• Whitehead torsion
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