Localizations of abelian Eilenberg-Mac Lane spaces of finite type

DOI10.2140/agt.2016.16.2379zbMath1353.55002OpenAlexW2520275337MaRDI QIDQ312413

Jin-Yen Tai, Carles Casacuberta, José Luis Rodríguez

Publication date: 15 September 2016

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/agt.2016.16.2379

zbMATH Keywords

localizationhomotopyEilenberg-Mac Lane spacerigid ringsolid ring

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Localization and completion in homotopy theory (55P60) Eilenberg-Mac Lane spaces (55P20)

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On cellularization for simplicial presheaves and motivic homotopy ⋮ Group varieties not closed under cellular covers and localizations ⋮ Absolute \(E\)-rings ⋮ Absolute \(E\)-modules ⋮ Comparing localizations across adjunctions ⋮ Homotopical localizations of module spectra ⋮ Model structures on commutative monoids in general model categories ⋮ On solid and rigid monoids in monoidal categories ⋮ Detecting mapping spaces ⋮ Homology equivalences inducing an epimorphism on the fundamental group and Quillen’s plus construction ⋮ Implications of large-cardinal principles in homotopical localization ⋮ Central extensions and generalized plus-constructions

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