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 categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-theory cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive constructive-mathematics cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor galois-theory gauge-theory gebra geometric 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 nforum 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 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).
  1. copying text from HoTT wiki

    Anonymous

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJun 7th 2022

    I understand that you are copying material, but let’s do a minimum of adjustment so that it makes sense in the larger context of the nLab.

    If you point to the nLab’s entry category then it’s hard for the reader to understand what kind of completion you have in mind. Better to point more specifically to internal category in homotopy type theory – at least for the first occasion.

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJun 7th 2022
    • (edited Jun 7th 2022)

    I am taking the liberty of adding to the References-section the following:

    The relation between Segal completeness (now often “Rezk completion”) for internal categories in HoTT and the univalence axiom had been pointed out in:

    diff, v2, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJun 7th 2022
    • (edited Jun 7th 2022)

    I have completed the publication data for:

    By the way, if you list items (such as under “See also”) without a bullet or numbering in front, then the the parser thinks you keep starting new paragraphs for each item and produces overly large vertical whitespace. Best to use bullet lists markup like this:

    * an item
    * another
    * yet another
    

    diff, v2, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJun 7th 2022
    • (edited Jun 7th 2022)

    I have changed the Theorem from a subsection to a theorem-environment (now here), analogously for the proof. Notice the easily remembered code:

    \begin{theorem}...\end{theorem} \begin{proof} ... \end{proof}
    

    By the way, after the proof ends, the text keeps going in a surprising/unclear way. Maybe there is some guiding text missing and/or the proof doesn’t actually end at that point.

    diff, v2, 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)