Homotopies and automorphisms of crossed modules of groupoids

DOI10.1023/A:1023544303612zbMath1029.20025arXivmath/0008117OpenAlexW2123425774MaRDI QIDQ1395759

İlhan İçen, Ronald Brown

Publication date: 1 July 2003

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

Full work available at URL: https://arxiv.org/abs/math/0008117

zbMATH Keywords

automorphismscrossed modulesgroupoidsactors2-crossed modules

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (15)

Unnamed Item ⋮ Towards a \(2\)-dimensional notion of holonomy ⋮ Unnamed Item ⋮ Crossed modules of monoids. II: Relative crossed modules ⋮ Higher lattices, discrete two-dimensional holonomy and topological phases in (3 + 1)D with higher gauge symmetry ⋮ Free modules and crossed modules ofR-algebroids ⋮ Homotopies of crossed modules of \(R\)-algebroids ⋮ Higher homotopy operations and cohomology ⋮ Crossed modules of monoids. I: Relative categories ⋮ Automorphisms and homotopies of groupoids and crossed modules ⋮ Homotopies of crossed complex morphisms of associative \(R\)-algebras ⋮ Crossed modules of monoids III. Simplicial monoids of Moore length 1 ⋮ Crossed semimodules of categories and Schreier 2-categories ⋮ Further remarks on group-2-groupoids ⋮ Normality and quotient in crossed modules over groupoids and 2-Groupoids

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