Homotopy theories in additive categories are homotopies of \(\Delta\)- groups

DOI10.1007/BF02862876zbMath0707.55012MaRDI QIDQ919663

Sergio Rodriguez-Machin

Publication date: 1990

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

coneexact sequencesPostnikov systemKan extensionEilenberg-MacLane complexarc functorsemi-simplicial abelian group

Mathematics Subject Classification ID

Homotopy extension properties, cofibrations in algebraic topology (55P05) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Preadditive, additive categories (18E05)

Cites Work

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• Homotopy theory in general categories
• Standard constructions in Abelian categories
• Kan-Bedingungen und abstrakte Homotopietheorie. (Kan conditions and abstract homotopy theory)
• Semi-simplicial complexes and singular homology
• Δ-SETS I: HOMOTOPY THEORY
• Δ-SETS II: BLOCK BUNDLES AND BLOCK FIBRATIONS

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