A theory of quantal sets

DOI10.1016/0022-4049(89)90147-3zbMath0685.18006OpenAlexW2058418039MaRDI QIDQ1825950

Rosanna Succi-Cruciani, Ugo Berni-Canani, Francis Borceux

Publication date: 1989

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90147-3

zbMATH Keywords

fibrationquantale-valued setsheaves of a locale

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Topoi (18B25) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (14)

Unnamed Item ⋮ The lambek sheaf reexamined ⋮ Quantal sets and sheaves over quantales ⋮ Unnamed Item ⋮ Coproduct and amalgamation of deductive systems by means of ordered algebras ⋮ Generalized logic and the representation of rings ⋮ On quantaloids and quantal categories ⋮ Preordered sets valued in a GL-monoid ⋮ Unnamed Item ⋮ Groupoid sheaves as quantale sheaves ⋮ A non-commutative and non-idempotent theory of quantale sets ⋮ Fuzzy presubsets as non-idempotent and non-commutative classifications of subalgebras ⋮ Modules in the category of sheaves over quantales ⋮ Unnamed Item

Cites Work

• Quantales and their sheaves
• Sheaves on sites as Cauchy-complete categories
• An essay on noncommutative topology
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