Models for homotopy \(n\)-types in diagram categories

DOI10.1007/BF00122253zbMath0858.55009MaRDI QIDQ1923800

Antonio R. Garzón, Jesús G. Miranda

Publication date: 25 March 1997

Published in: Applied Categorical Structures (Search for Journal in Brave)

zbMATH Keywords

homotopy categorycrossed modulesclosed model categorydiagramssimplicial groupoidhomotopy 2-typesequivariant homotopy \(n\)-types

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Equivariant homotopy theory in algebraic topology (55P91)

Related Items (1)

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Cites Work

• Algebraic classification of equivariant homotopy 2-types. I
• Modules croisés généralisés de longueur 2
• On homotopy theory and c. s. s. groups
• Homologie nicht-additiver Funktoren. Anwendungen
• Equivariant homotopy classification
• Spaces with finitely many non-trivial homotopy groups
• Group-theoretic algebraic models for homotopy types
• Cech and Steenrod homotopy theories with applications to geometric topology
• Equivariant Eilenberg-MacLane spaces K(\({\mathcal G},\mu,1)\) for possibly non-connected or empty fixed point sets
• Equivariant cohomology theories
• Homotopical algebra
• Rational homotopy theory
• Homotopy theories
• Algebraic Models of 3‐Types and Automorphism Structures for Crossed Modules
• Relations between Homology and Homotopy Groups
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