On (co)homology of 2-types and crossed modules

DOI10.1006/jabr.2001.8919zbMath1029.55012OpenAlexW2011943334MaRDI QIDQ5952293

Tamar Datuashvili, Teimouraz Pirashvili

Publication date: 4 February 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.8919

zbMATH Keywords

homology2-typecrossed module

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homological methods in group theory (20J05) Eilenberg-Mac Lane spaces (55P20) Serre spectral sequences (55T10)

Related Items (7)

Computing group resolutions. ⋮ Categorical, homological, and homotopical properties of algebraic objects ⋮ Computational homology of \(n\)-types ⋮ Homotopical and combinatorial aspects of the theory of normal series in groups. ⋮ Higher dimensional algebras as ideal maps ⋮ A comonadic interpretation of Baues-Ellis homology of crossed modules ⋮ Derived functors and the homology of \(n\)-types

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• On the groups \(H(\Pi,n)\). II
• Homology of 2-Types
• A SIMPLE PROOF OF THE CUP PRODUCT REDUCTION THEOREM
• Free and Projective Crossed Modules
• Simplicial degrees of functors

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