The first derived functor of the inverse limit and localization

DOI10.1016/S0022-4049(01)00173-6zbMath1009.20034MaRDI QIDQ1612157

Kouyemon Iriye

Publication date: 22 August 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

inverse limitsfinitely generated nilpotent groups\(p\)-localizationsCW-complexesderived functors

Mathematics Subject Classification ID

Nilpotent groups (20F18) Localization and completion in homotopy theory (55P60) Homological methods in group theory (20J05) Resolutions; derived functors (category-theoretic aspects) (18G10) Extensions, wreath products, and other compositions of groups (20E22)

Cites Work

• Clones of spaces and maps in homotopy theory
• Some questions about the first derived functor of the inverse limit
• Homotopy limits, completions and localizations
• Localization, completion and infinite complexes
• Phantom Maps and Rational Equivalences
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