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 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 history homological homological-algebra 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 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 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.
    • CommentAuthorHurkyl
    • CommentTimeNov 9th 2021

    I felt like the (∞,1) section should give an abstract description rather than a model specific one, so I’ve done so, and proved in the abstract the equivalence between the hom-space and slice-category characterizations.

    It feels like cheating to invoke the Grothendieck construction for it; can the argument be made just as cleanly without it?

    … I’m having trouble with the formatting, so I’m going to do some bisection to track down the issue….

    diff, v38, current

    • CommentRowNumber2.
    • CommentAuthorHurkyl
    • CommentTimeNov 9th 2021

    Okay, I think I got it

    diff, v38, current

    • CommentRowNumber3.
    • CommentAuthorHurkyl
    • CommentTimeNov 9th 2021

    It’s weird that you can’t do tikzcd inbetween dollar-sign pairs, and you have to actually use the centre environment thing.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 10th 2021

    Thanks for the additions.

    Yes, the tikzcd-functionality is not part of Instiki (which is the software platform the nnLab rendering engine is using) but is an external add-on that Richard kindly added a while back, so that we can have decent diagram typesetting at all.

    My understanding is that there are plans to improve on this and other aspects, but I gather the priority right now is to get the nnLab migrated from its server at CMU (which is running out) to a cloud provider.

    As usual, if anyone is interested in lending Richard a hand with coding desired functionality for the nnLab, drop him a note and he may tell you what you could do!

    • CommentRowNumber5.
    • CommentAuthorHurkyl
    • CommentTimeNov 10th 2021

    Changed some of the language in my additions to make the overall presentation flow more smoothly.

    diff, v40, current

    • CommentRowNumber6.
    • CommentAuthorJem Lord
    • CommentTimeJul 16th 2022

    Added alternative equivalent slightly more explicit definition.

    diff, v43, current

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)