Classifying Spaces of Topological Monoids and Categories

DOI10.2307/2374307zbMath0568.55017OpenAlexW1966772071MaRDI QIDQ3684831

Zbigniew Fiedorowicz

Publication date: 1984

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374307

zbMATH Keywords

topological monoidsalgebraic K- theoryweak homotopy equivalencesclassifying space of the James constructionclassifying spaces of topological categoriesdiscrete categoriesdiscrete monoid

Mathematics Subject Classification ID

Related Items (19)

Iterated wreath product of the simplex category and iterated loop spaces ⋮ Nerves and classifying spaces for bicategories ⋮ Tensor product of operads and iterated loop spaces ⋮ Polynomial monads and delooping of mapping spaces ⋮ Homotopy fiber sequences induced by 2-functors ⋮ Homotopy homomorphisms and the classifying space functor ⋮ Topological finiteness properties of monoids. I: Foundations ⋮ Homotopy colimits of algebras over Cat-operads and iterated loop spaces ⋮ Dihedral and quaternionic homology and mapping spaces ⋮ Discrete Morse theory and a reformulation of theK(π,1)-conjecture ⋮ Simplicial monoid actions and associated monoid constructions ⋮ Estimates of the solutions of linear systems with delay ⋮ The Volodin model for Hermitian algebraic \(K\)-theory ⋮ Relative Hermitian algebraic \(K\)-theory and dihedral homology ⋮ A counterexample to a group completion conjecture of J. C. Moore ⋮ Homotopy theory of monoids and derived localization ⋮ Rank functions on triangulated categories ⋮ Homotopy equivalence of coverings and the spectral sequence of a fibration ⋮ Uniqueness of \(n\)-fold delooping machines

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