Fibrations of ordered groupoids and the factorization of ordered functors

DOI10.1007/s10485-015-9392-0zbMath1346.18004arXiv1403.3254OpenAlexW1854259211MaRDI QIDQ263887

N. D. Gilbert, Nouf AlYamani, E. C. Miller

Publication date: 5 April 2016

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

Full work available at URL: https://arxiv.org/abs/1403.3254

zbMATH Keywords

coveringfunctorsemidirect productfibrationgroupoid actionordered groupoid

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Ordered structures (06F99) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (4)

Maximal ordered groupoids and a Galois correspondence for inverse semigroup orthogonal actions ⋮ Cohomology and extensions of ordered groupoids ⋮ Generalizations of Lagrange and Sylow theorems for groupoids ⋮ Ordered groupoid quotients and congruences on inverse semigroups

Cites Work

• On localization and stabilization for factorization systems
• Fibrations of groupoids
• FACTORIZATION THEOREMS FOR MORPHISMS OF ORDERED GROUPOIDS AND INVERSE SEMIGROUPS
• THE HOMOTOPY THEORY OF INVERSE SEMIGROUPS
• Bisimple ω-Semigroups
• Groupoids as Coefficients
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