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 deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration finite 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 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 sheaves 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: companion pair

Bottom of Page

1 to 8 of 8

  1.  
    • 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
    • CommentTime3 days ago

    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

1 to 8 of 8

  1.