TL;DR
This paper provides an explicit description of the nerve construction for crossed modules of categories, facilitating better understanding and applications of these algebraic structures.
Contribution
It introduces a detailed and explicit description of the nerve of a crossed module of categories, advancing the theoretical framework.
Findings
Explicit nerve description for crossed modules of categories
Enhanced understanding of categorical algebra structures
Potential applications in higher category theory
Abstract
We give an explicit description for the nerve of crossed module of categories.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra