Not signed in (Sign In)

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 comma 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 finite 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 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 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 stack 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.
    • CommentAuthorUrs
    • CommentTimeMay 17th 2012
    • (edited May 17th 2012)

    I am starting to bring (infinity,n)-category into shape. So far I have

    • rewritten the Idea-section

    • added a bare minimum of the axiomatic characterization

    • added references

    • also polished n-category a bit.

    My plan ist to add now technical details to the entry. Let’s see how far I get.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 17th 2012
    • (edited May 17th 2012)

    have been further adding material to (infinity,n)-category, mainly such as to give the main statements of the article by Clark Barwick and Chris Schommer-Pries.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 17th 2012

    have added more stuff here and there and then had the glorious idea to start a section Web of Quillen equivalent model category presentations.

    Just a start, so far. Need a break now.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMay 18th 2012
    • (edited May 18th 2012)

    have added to the entry further details in “Definition via presentation by strict n-categories” and further properties.

    Also wrote sections “Introduction for 1-category theorists” and “Introduction for homotopy theorists”.

    I am preparing a seminar talk for an audience of students familiar with, indeed, 1-category theory and homotopy theory. So I’d be interested in how the entry, unfinished as it is, works so far for students with such background.

    For instance Stephan? When you are reading this here. Or anyone else, I’d be interested in hearing which points would need more explanation.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 19th 2012
    • (edited May 19th 2012)

    I have expanded the Idea-section at (infinity,n)-category, mentioning more of the results and applications.

    There is more to be done. But I have to interrupt this now and do some string geometry. For a change.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJun 18th 2014

    added pointers to

    with brief remark and cross-links to some related entries.

    • CommentRowNumber7.
    • CommentAuthorMike Shulman
    • CommentTimeMay 6th 2016

    Added a citation to

    • Rune Haugseng, On the equivalence between Θ n\Theta_n-spaces and iterated Segal spaces, arXiv

    Unfortunately I don’t have time to actually read it or add any substantive remarks to the page.

    • CommentRowNumber8.
    • CommentAuthorAlexisHazell
    • CommentTimeNov 1st 2018

    Added reference to Julie Bergner, “A survey of models for (∞,n)-categories”.

    diff, v55, current

  1. Linked to category (infinity,n)Cat.

    diff, v59, current