Semilocalization of endomorphisms in homotopy theory

DOI10.1016/S0166-8641(97)00173-9zbMath0927.55018MaRDI QIDQ1295222

Zaisi Zuo, Wen Huai Shen

Publication date: 8 December 1999

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

homotopy monomorphismhomotopy epimorphism

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60)

Cites Work

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• Localization of fibrations with nilpotent fibre
• Every connected space has the homology of a \(K\) \((\pi,1)\)
• Acyclic maps
• Homotopy epimorphisms in homotopy pullbacks
• Localization of homotopy epimorphisms and homotopy monomorphisms
• Homotopy epimorphisms preserve nilpotency
• Generalized classes of groups, $C$-nilpotent spaces and "The Hurewicz theorem".
• Pull-Backs in Homotopy Theory

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