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 k-theory lie-theory limit 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 simplicial space spin-geometry stable-homotopy-theory stack string string-theory subobject 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.
    • CommentAuthorspitters
    • CommentTimeJan 16th 2019

    Adding model structure from cubical type theory.

    diff, v69, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJun 27th 2020

    added pointer to

    diff, v72, current

    • CommentRowNumber3.
    • CommentAuthorHurkyl
    • CommentTimeNov 24th 2020

    Corrected the mention of etale geometric morphisms.

    diff, v74, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 2nd 2021
    • (edited Oct 2nd 2021)

    added comment/argument (here) that the global section geometric morphism of a Grothendieck \infty-topos is essentially unique.

    diff, v78, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeOct 14th 2021

    have added pointer to

    which has been missing also in a number of related entries.

    Is this the first use of the terminology “\infty-topos”, by a margin? And it seems all the ideas are in there, in a kind of model topos-form (am adding the pointer there, too).

    diff, v79, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeOct 14th 2021

    while I was at it, I have boosted the list of early reference a little more (here). For instance where a “letter to Grothendieck” was mentioned, I added the point to Joyal’s letter, and then also added pointer to Jardine’s early article, for completeness on this point of model categories of simplicial presheaves.

    diff, v79, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeOct 18th 2021

    I have replaced the (brief) section on powering (which essentially just said it exists) and half of the following section on cartesian closure (the half that talked about the internal hom preserving limits also in the first argument) with the new !include-section powering of ∞-toposes over ∞-groupoids – section.

    diff, v80, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeNov 13th 2021

    added pointer to:

    diff, v82, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeApr 8th 2023

    added pointer to:

    diff, v85, current