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: large cocompleteness

Bottom of Page

1 to 8 of 8

  1.  
    • CommentRowNumber1.
    • CommentAuthorvarkor
    • CommentTimeApr 22nd 2023

    Started this page to record various facts about large cocompletions as I survey some of the literature. It’s possible that some of these concepts should have their own pages eventually, but at the moment this seems awkward as many don’t already have names in the literature (or have names that are not ideal for various reasons).

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeApr 22nd 2023
    • (edited Apr 22nd 2023)

    added some more hyperlinks to technical terms

    made “compact category” redirect to here, for the time being.

    Where the notion of “compact categories” is first defined in the entry, I added a warning that this is un-related to “compact closed categories”.

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeApr 22nd 2023
    • (edited Apr 22nd 2023)

    The line

    in the sense of Isbell (also called a SAFT-category)

    would deserve to be referenced:

    Where did Isbell say “compact category”, and who says “SAFT-category”?

    • CommentRowNumber4.
    • CommentAuthorvarkor
    • CommentTimeApr 22nd 2023

    Added a reference to Isbell, and removed SAFT-category terminology for now, as this appears to be used inconsistently in the literature.

    diff, v3, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeApr 22nd 2023
    • (edited Apr 22nd 2023)

    Thanks.

    I have added the doi:10.1007/BF01691344

    and anchored the reference item

    and then linked to it from the text:

    …in the sense of Isbell (1968)…

    diff, v4, current

    • CommentRowNumber6.
    • CommentAuthorvarkor
    • CommentTimeApr 22nd 2023

    Mention the free large cocompletion.

    diff, v5, current

    • CommentRowNumber7.
    • CommentAuthorvarkor
    • CommentTimeJul 14th 2023

    Mention strongly compact categories.

    diff, v6, current

    • CommentRowNumber8.
    • CommentAuthorvarkor
    • CommentTimeApr 20th 2024

    Mention Isbell-cocompleteness.

    diff, v7, current

1 to 8 of 8

  1.