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    • 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