Not signed in (Sign In)

Start a new discussion

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-categories 2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry beauty bundles calculus categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology combinatorics complex-geometry computable-mathematics computer-science connection constructive constructive-mathematics cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry differential-topology digraphs duality education elliptic-cohomology enriched fibration finite foundations functional-analysis functor galois-theory gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck 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 infinity integration integration-theory k-theory lie lie-theory limits linear linear-algebra locale localization logic manifolds mathematics measure-theory modal-logic model model-category-theory monad monoidal monoidal-category-theory morphism motives motivic-cohomology multicategories noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pasting philosophy physics planar 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-theory subobject superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory 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.
    • CommentAuthorTim Campion
    • CommentTimeFeb 3rd 2019

    Fixed a broken link to Jardine’s lectures.

    This article references Jardine’s lectures for a cubical subdivision functor, but I could not find it in this source. Is cubical subdivision described elsewhere?

    diff, v4, current

    • CommentRowNumber2.
    • CommentAuthorRichard Williamson
    • CommentTimeFeb 4th 2019
    • (edited Feb 4th 2019)

    Seems to be in section 5 of those lectures?

    That approach doesn’t seem especially elegant, though. It is enough just to specify what the subdivision functor does to 1\square_{\leq 1}, which can be done very explicitly. One gets everything else (including a right adjoint) from the universal properties. I think I described this once in some ancient nForum posts :-). Edit: think I found the nForum posts, see from #12 here.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeFeb 4th 2019
    • (edited Feb 4th 2019)

    So I changed the relevant sentence to a more proper citation:

    A cubical subdivision functor sdsd is discussed in Jardine 02, Section 5.

    diff, v6, current

    • CommentRowNumber4.
    • CommentAuthorDavidRoberts
    • CommentTimeFeb 5th 2019

    Updated link to Cisinski’s Astérisque monograph, this page used to point to his Paris 13 website, now defunct.

    diff, v7, current

    • CommentRowNumber5.
    • CommentAuthorTim Campion
    • CommentTimeFeb 5th 2019

    Ah yes – I think when I initially posted here the link was to a different paper of Jardine’s (there are two of them in the references). I eventually tracked it down and fixed the reference, but forgot to mention it. Sorry for the wild goose chase!

Add your comments
  • Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
  • To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

  • (Help)