Dihedral and quaternionic homology and mapping spaces

DOI10.1007/BF00533376zbMath0702.55014MaRDI QIDQ915199

Gerald Dunn

Publication date: 1989

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

crossed simplicial groupWaldhausen K-theoryMoore loops

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35)

Related Items (3)

Power maps and epicyclic spaces ⋮ Involution on pseudoisotopy spaces and the space of nonnegatively curved metrics ⋮ Dihedral homology and the moon

Cites Work

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• Homologies diédrale et quaternionique. (Dihedral and quaternionic homology)
• Cyclic homology, derivations, and the free loopspace
• Normalizing the cyclic modules of Connes
• The cyclic groups and the free loop space
• Cyclic homology and algebraic K-theory of spaces. II
• Cyclic homology and equivariant homology
• The geometry of iterated loop spaces
• Homotopy limits, completions and localizations
• Dihedral homology and HermitianK-theory of topological spaces
• Dihedral Homology and the Free Loop Space
• The Nontriviality of the First Rational Homology Group of Some Connected Invariant Subsets of Periodic Transformations
• Classifying Spaces of Topological Monoids and Categories
• Crossed Simplicial Groups and their Associated Homology
• Classifying spaces and fibrations
• When is the Natural Map X →ΩΣX a Cofibration?

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