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-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry bundles calculus categories category category-theory chern-weil-theory cohesion cohesive-homotopy-theory cohesive-homotopy-type-theory cohomology colimits combinatorics comma complex-geometry computable-mathematics computer-science connection constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundations functional-analysis functor galois-theory gauge-theory gebra geometric-quantization geometry goodwillie-calculus 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 history homological homological-algebra homology homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie lie-theory limit limits linear linear-algebra locale localization logic mathematics measure-theory modal-logic model model-category-theory monoidal monoidal-category-theory morphism motives motivic-cohomology nonassociative 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 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.
    • CommentAuthorMike Shulman
    • CommentTimeAug 18th 2013

    New page: n-types cover

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 18th 2013

    added a bunch of hyperlinks and cross-linked with relevant entries

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeAug 18th 2013

    Thanks! I moved the link to h-set to the section “In homotopy type theory”, and removed the link to suspension since it is not the same as delooping.

    • CommentRowNumber4.
    • CommentAuthorZhen Lin
    • CommentTimeAug 18th 2013

    I’ve heard both terms used for the operation MBMM \mapsto \mathrm{B} M, where MM is a monoidal category and BM\mathrm{B} M is the corresponding one-object bicategory. (I usually say delooping for that.) Perhaps the difference should be explained somewhere.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeAug 18th 2013
    • (edited Aug 18th 2013)

    Hm, I don’t remember having linked to suspension

    It’s a bad habit of some category theorists to say “suspension” for delooping. A related bad habit is to write BB for geometric realization of a category.

    While we do have looping and delooping with a fair bit detail, I suppose the entry suspension is lacking some homotopy theoretic discussion. It’s scattered at stable (infinity,1)-category and elsewhere I suppose.

    I have no time to do much at all on the nLab right now, though.

    • CommentRowNumber6.
    • CommentAuthorDavid_Corfield
    • CommentTimeNov 14th 2014

    The page has

    By the Kripke-Joyal semantics of homotopy type theory,

    following which link we see only

    Kripke–Joyal semantics is a natural semantics in a topos.

    Presumably the latter should say something about extending to the \infty-case.

    Maybe first though some detail nees to be given at Kripke-Joyal semantics.

    • CommentRowNumber7.
    • CommentAuthorMike Shulman
    • CommentTimeNov 14th 2014

    Yeah…

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)