'GROUP-COMPLETION', LOCAL COEFFICIENT SYSTEMS AND PERFECTION

DOI10.1093/qmath/hat024zbMath1280.55002OpenAlexW2147064601MaRDI QIDQ2851202

Oscar Randal-Williams

Publication date: 10 October 2013

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/hat024

zbMATH Keywords

group completionperfect groupplus constructionacyclic maphomology equivalence

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Loop spaces (55P35) (Q)- and plus-constructions (19D06) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (15)

Toward a Galois theory of the integers over the sphere spectrum ⋮ Homological stability for automorphism groups ⋮ Infinite loop spaces from operads with homological stability ⋮ Homological stability for moduli spaces of high dimensional manifolds. I ⋮ The homology of the Higman-Thompson groups ⋮ Exponential functors, \(R\)-matrices and twists ⋮ Homological stability: a tool for computations ⋮ Some rational homology computations for diffeomorphisms of odd‐dimensional manifolds ⋮ Homology stability for symmetric diffeomorphism and mapping class groups ⋮ On transfer maps in the algebraic \(K\)-theory of spaces ⋮ Modules over algebraic cobordism ⋮ The homotopy groups of a homotopy group completion ⋮ Cobordism categories and moduli spaces of odd dimensional manifolds ⋮ Semisimplicial spaces ⋮ A homological approach to pseudoisotopy theory. I.

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