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 comma 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 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).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeOct 29th 2009

    created website-link page Denis-Charles Cisinski

    • CommentRowNumber2.
    • CommentAuthoradeelkh
    • CommentTimeMar 24th 2015

    I added a reference to the notes

    to relevant pages like quasi-category, (infinity,1)-topos, (infinity,1)-category of (infinity,1)-sheaves.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJul 9th 2020
    • (edited Jul 9th 2020)

    Under “related entries” there was a requested link to “test topos”. I have removed that, as the page doesn’t exist and the link was broken and looked bad.

    Incidentally, Google gives me a single relevant hit for “test topos”, and that’s just an informal usage in passing: by Duskin (2013) on p. 7 here.

    Of course, if anyone goes and creates a page for test toposes now that cites Denis-Charles, then let’s put the pointer back.

    diff, v9, current

  1. Cisinski has, or at least had, an unpublished but quite long note on test topoi on his webpage. This is the only reference I’m aware of.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJul 9th 2020

    Thanks. But who says “test topos”? (Or topos test, for that matter?) The document you point to talks, besides catégories test, about localisateur test and catégorie test locale.

  2. The introduction of Cisinki’s main work on test categories, Les préfaisceaux…, contains various remarks on test topoi (explicitly mentioned). Some of the things he mentions, such as the relationship to internal presheaves, are discussed in the unpublished note I linked to.

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeJul 10th 2020
    • (edited Jul 10th 2020)

    The introduction of Cisinki’s main work on test categories, Les préfaisceaux…, contains various remarks on test topoi

    Ah, there you go. Thanks. I’ll add a pointer to that, then.

    • CommentRowNumber9.
    • CommentAuthorslelievre
    • CommentTimeAug 9th 2021

    Add redirect from Cisinski. Cosmetic edits (accented characters, spacing).

    diff, v13, current