Homology equivalences inducing an epimorphism on the fundamental group and Quillen’s plus construction

DOI10.1090/S0002-9939-03-07221-6zbMath1046.55006arXivmath/0301328OpenAlexW1706912818MaRDI QIDQ4441804

Scevenels, Dirk, José Luis Rodríguez

Publication date: 7 January 2004

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

Full work available at URL: https://arxiv.org/abs/math/0301328

zbMATH Keywords

radicalplus constructionhomology localization

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Localization and completion in homotopy theory (55P60) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Topological (K)-theory (55N15)

Related Items (7)

Closure Operations and Localization of Groups ⋮ Homology equivalences of manifolds and zero-in-the-spectrum examples ⋮ Erratum to ``A unified approach to the plus-construction, Bousfield localization, Moore spaces and zero-in-the-spectrum examples ⋮ Fundamental groups, homology equivalences and one-sided \(h\)-cobordisms ⋮ HR-length of a free group via polynomial functors ⋮ The \(A\)-core and \(A\)-cover of a group. ⋮ Group localization and two problems of Levine

Cites Work

• Localizations of abelian Eilenberg-Mac Lane spaces of finite type
• On the homotopy theory of topogenic groups and groupoids
• The localization of spaces with respect to homology
• A universal space for plus-constructions
• Universal epimorphic equivalences for group localizations
• Bousfield localization as an algebraic closure of groups
• Cellular spaces, null spaces and homotopy localization
• Homological localization towers for groups and Π-modules
• Homotopical localizations of spaces
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