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 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 internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure 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 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: (n × k)-category

Bottom of Page

1 to 8 of 8

  1.  
    • CommentRowNumber1.
    • CommentAuthorvarkor
    • CommentTimeMay 17th 2019
    • (edited May 21st 2019)

    Begin a page on (n×k)(n \times k)-categories, which are nn-categories internal to kk-categories.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 17th 2019

    made more of the keywords hyperlinked, and added more cross-links to/from Related entries (so that there is more of a chance that this entry here is found by readers who don’t know that it exists!):

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeMay 19th 2019

    Thanks! What is meant by “subsume” in the “Relationships” section?

    • CommentRowNumber4.
    • CommentAuthorvarkor
    • CommentTimeMay 20th 2019
    • (edited May 21st 2019)

    Clarified a sentence about the relationship between (1 x 2)- and (2 x 1)-categories.

    diff, v3, current

    • CommentRowNumber5.
    • CommentAuthorMike Shulman
    • CommentTimeMay 20th 2019

    Clarified that strictness is used in the DH result, and that fibrancy is also used in some such results. Some more general explanation of this phenomenon would be good to include.

    diff, v4, current

    • CommentRowNumber6.
    • CommentAuthormaxsnew
    • CommentTimeAug 9th 2019
    • (edited Aug 9th 2019)

    One of the examples is a 1×1×11 \times 1 \times 1 category being a triple category, but obviously that does not fit into the pattern the page is describing. Should the page instead be about n 1×n 2×⋯n_1 \times n_2 \times \cdots categories?

    • CommentRowNumber7.
    • CommentAuthorMike Shulman
    • CommentTimeAug 9th 2019

    If anyone wants to write such a page, we could move the triple-category example to there. But at present it seems sensible to me to keep the current page being about the simple and most-common notion and yet mention one example that suggests how it might be generalized.

    • CommentRowNumber8.
    • CommentAuthormaxsnew
    • CommentTimeAug 12th 2019

    Say explicitly that the triple category case is extending the pattern.

    diff, v5, current

1 to 8 of 8

  1.