Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory object of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: quantale

Bottom of Page

1 to 2 of 2

  1.  
    • CommentRowNumber1.
    • CommentAuthorzskoda
    • CommentTimeOct 10th 2023

    In most recent works, quantale is defined more generally, as a semigroup in the monoidal category of suplattices.

    diff, v35, current

  2. We would like to expand Section 4 on quantale-enriched categories. It is well known that for a quantale Q, the category Q-Cat is both cartesian and monoidal closed. Hence, when Q is a locale, Q-Cat is cartesian closed.

    However, the characterization of when Q-Cat is cartesian closed is nontrivial and has been studied in depth in the papers mentioned. Hence, we have recalled a result that establishes an equivalence between the cartesian closure of Q-Cat and certain conditions on Q.

    We apologize for any syntax errors. Best regards, Cipriano Jr. Cioffo and Filippo Bonchi

    Cioffo and Bonchi

    diff, v39, current

1 to 2 of 2

  1.