The homotopy solvability of compact Lie groups and homogenous topological spaces

DOI10.4310/HHA.2023.V25.N2.A5OpenAlexW4387385237MaRDI QIDQ6071786

Marek Golasiński

Publication date: 29 November 2023

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/hha.2023.v25.n2.a5

zbMATH Keywords

nilpotent spacelocalizationloop spaceCayley plane\(H\)-spacesmash productPostnikov systemSamelson productwedge sumWhitehead productsuspension space\(n\)-fold commutator mapGrassmann (generalised flag and Stiefel) manifoldnilpotency (solvability) class

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Classification of homotopy type (55P15) (H)-spaces and duals (55P45) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Compact groups (22C05) Homology and homotopy of topological groups and related structures (57Txx)

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