On classifying simplicial modules

DOI10.1080/00927872.2023.2255266OpenAlexW4386631688MaRDI QIDQ6149455

Elif Ilgaz Çağlayan, Zekeriya Arvasi

Publication date: 5 March 2024

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

Full work available at URL: https://doi.org/10.1080/00927872.2023.2255266

zbMATH Keywords

simplicial algebracrossed module(co)homologysimplicial homotopyclassifying simplicial module

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Simplicial sets, simplicial objects (18N50) Module categories and commutative rings (13C60)

Cites Work

• Unnamed Item
• Computational homology of \(n\)-types
• On homotopy theory and c. s. s. groups
• The functors \(\overline {W}\) and \(\text{Diag}\circ \text{Nerve}\) are simplicially homotopy equivalent.
• Homology of commutative algebras and an invariant of Simis and Vasconcelos
• Some categorical results in the theory of crossed modules in commutative algebras
• Van Kampen theorems for diagrams of spaces
• Freeness conditions for 2-crossed modules of commutative algebras
• (Co)homology of crossed modules with coefficients in a \(\pi_1\)-module
• CCG-homology of crossed modules via classifying spaces
• The relationship between the diagonal and the bar constructions on a bisimplicial set
• Homology of 2-Types
• Homotopy 2-Types of Low Order
• Combinatorial homotopy. II
• Simplicial homotopy theory
• Simplicial homotopy theory
• (Co)Homology of crossed modules

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