The universal covering of an inverse semigroup.

DOI10.1007/s10485-008-9147-2zbMath1201.20060OpenAlexW2092385955MaRDI QIDQ969694

Benjamin Steinberg, Jonathon Funk

Publication date: 7 May 2010

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

Full work available at URL: https://doi.org/10.1007/s10485-008-9147-2

zbMATH Keywords

small categoriestopoipresheavesE-unitary inverse semigroupsgeometric morphisms

Mathematics Subject Classification ID

Topoi (18B25) Inverse semigroups (20M18) Connections of semigroups with homological algebra and category theory (20M50) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (12)

The principal bundles over an inverse semigroup ⋮ Pseudogroups and their torsors ⋮ Toposes for semigroups: an invitation ⋮ On Ehresmann semigroups ⋮ Generalized heaps, inverse semigroups and Morita equivalence. ⋮ The structure of generalized inverse semigroups. ⋮ Comprehensive factorisation systems ⋮ A DUALIZING OBJECT APPROACH TO NONCOMMUTATIVE STONE DUALITY ⋮ Locally anisotropic toposes ⋮ Characterizations of Morita equivalent inverse semigroups. ⋮ Recent developments in inverse semigroup theory ⋮ The classifying space of an inverse semigroup.

Cites Work

• Molecular toposes
• Sheaves in geometry and logic: a first introduction to topos theory
• Idempotent determined congruences on inverse semigroups
• An application of groupoids of fractions to inverse semigroups
• Semigroups and toposes
• Singular coverings of toposes
• An extension of the Galois theory of Grothendieck
• Quasicomponents in topos theory: the hyperpure, complete spread factorization
• Inverse semigroups as extensions of semilattices
• A Note onE-Unitary Inverse Semigroups
• Cohomology of inverse semigroups
• Cohomology of inverse semigroups
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