Rationalization of Hopf G-spaces

DOI10.1007/BF01215478zbMath0518.55008MaRDI QIDQ1054030

Georgia Visnjic Triantafillou

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/173298

zbMATH Keywords

equivariant multiplicationG-Eilenberg-MacLane spacesHopf G-spacesK-invariants

Mathematics Subject Classification ID

Rational homotopy theory (55P62) (H)-spaces and duals (55P45) Finite transformation groups (57S17) Eilenberg-Mac Lane spaces (55P20) Equivariant homotopy theory in algebraic topology (55P91)

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Equivariant Homology Decompositions ⋮ On rational co-Hopf G-spaces ⋮ Injective models of \(G\)-disconnected simplicial sets ⋮ On injective rational coefficient systems ⋮ Localization, completion and detecting equivariant maps on skeletons ⋮ External Spanier-Whitehead duality and homology representation theorems for diagram spaces ⋮ Rational 𝑆¹-equivariant homotopy theory ⋮ An algebraic model for \(G\)-simple homotopy types ⋮ On rational equivariant \(H\)-spaces ⋮ Pairings and copairings in the category of topological spaces

Cites Work

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• Infinitesimal computations in topology
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• On the structure of Hopf algebras
• On H-Spaces with Two Nontrivial Homotopy Groups
• Equivariant Minimal Models