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: CombModCat

Bottom of Page

1 to 7 of 7

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJul 6th 2018
    • (edited Jul 6th 2018)

    recording the 1-categorical equivalence Ho(CombModCat)≃Ho(PresentableDerivators) Ho(CombModCat) \;\simeq\; Ho(PresentableDerivators) obtained from Renaudin06

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJun 9th 2021

    added publication data for:

    diff, v8, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJun 9th 2021

    fixed typo in the remark recalling Dugger’s theorem (which had “simplicial set” instead of “simplicial category”)

    diff, v8, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 11th 2021
    • (edited Oct 11th 2021)

    Where the entry said it “should be true” that the homotopy-category/homotopy-theory of combinatorial model categories is equivalent to that of presentable ∞\infty-categories, I have now added the remark that a proof is offered in Pavlov 2021 (as discussed in the other thread here).

    I hope we will expand on this here in this entry, eventually.

    diff, v14, current

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMay 5th 2023

    We have an article named Ho(CombModCat), but no article named CombModCat.

    Also, this article does not just talk about the homotopy category of CombModCat, but also states theorems about the ∞-category. So the title is not quite accurate anyway. Should this article be renamed to CombModCat?

    diff, v24, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMay 5th 2023

    Sure, makes sense.

    • CommentRowNumber7.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMay 5th 2023

    Renamed.

    diff, v24, current

1 to 7 of 7

  1.