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 nforum nlab noncommutative noncommutative-geometry number-theory 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).
    • CommentRowNumber1.
    • CommentAuthormattecapu
    • CommentTimeJun 20th 2022

    link to PDF for reference

    diff, v10, current

    • CommentRowNumber2.
    • CommentAuthorDmitri Pavlov
    • CommentTimeJun 22nd 2023

    Related concept: retrocell.

    diff, v11, current

    • CommentRowNumber3.
    • CommentAuthorvarkor
    • CommentTimeJan 2nd 2024

    Added some more references.

    diff, v12, current

    • CommentRowNumber4.
    • CommentAuthorvarkor
    • CommentTimeJan 2nd 2024

    Mentioned the definition of a connection pair.

    diff, v12, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJan 2nd 2024

    I have added proper hyperlinks to vertical morphism and horizontal morphism

    and touched the formatting of the diagram

    diff, v13, current

    • CommentRowNumber6.
    • CommentAuthormattecapu
    • CommentTimeAug 7th 2024

    added: a double category has companions iff its underlying span is a two-sided fibration

    diff, v14, current

    • CommentRowNumber7.
    • CommentAuthormattecapu
    • CommentTimeAug 14th 2024

    disambiguated vertical/horizontal to tight/loose

    diff, v15, current

    • CommentRowNumber8.
    • CommentAuthorvarkor
    • CommentTimeOct 30th 2024

    In the previous edit, it was claimed without reference that a double category with companions is sometimes called a “company”. I looked for a reference, but could not find one. I’ve replaced the terminology with an alternative for which I have found a reference, and which is more descriptive.

    diff, v16, current