A note on Miller’s theorem about maps out of classifying spaces

DOI10.1090/S0002-9939-96-03407-7zbMath0865.55013OpenAlexW1539151961MaRDI QIDQ4717099

C. A. McGibbon

Publication date: 1 December 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03407-7

zbMATH Keywords

fundamental groupinfinite loop spaceCW-complexprofinite completionspace of based maps

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Infinite loop spaces (55P47) Classification of mappings in algebraic topology (55S37)

Related Items (3)

Homotopical presentations and calculations of algebraic \(K_0\)-groups for rings of continuous functions ⋮ Infinite loop spaces and Neisendorfer localization ⋮ Groups of homotopy classes of phantom maps

Cites Work

• The Sullivan conjecture on maps from classifying spaces
• Locally finite approximation of Lie groups. I
• On phantom maps and a theorem of H. Miller
• The homology of iterated loop spaces
• Genetics of homotopy theory and the Adams conjecture
• Universal phantom maps
• Homotopy limits, completions and localizations

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