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-categories 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 constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry differential-topology digraphs duality education elliptic-cohomology enriched fibration finite foundations functional-analysis functor galois-theory gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck 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 infinity integration integration-theory k-theory lie-theory limit limits linear linear-algebra locale localization logic manifolds mathematics measure-theory modal-logic model model-category-theory monads monoidal monoidal-category-theory morphism motives motivic-cohomology newpage noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory 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 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.
    • CommentAuthorzskoda
    • CommentTimeMar 3rd 2010
    • (edited Mar 3rd 2010)

    Thomas's guest post at cafe and his paper should maybe be reflected in entry infinity-category and other places in nlab where various "models" fro infinity categories are listed, as it should have a very important role in my opinion, but still better experts should do carefully these changes. I might give a slightly uninformed interepretation of the role of this work in comparison to the experts like Mike.

    • CommentRowNumber2.
    • CommentAuthorTim_Porter
    • CommentTimeMar 3rd 2010

    I suspect that Thomas’s models are free not only in the sense that he ascribes to them. For instance, [[simplicial T-complex]]es would seem to form a ‘variety’ in his category of algebraic Kan complexes where the equations satisfied are the three axioms of those beasties.

    • CommentRowNumber3.
    • CommentAuthorTim_Porter
    • CommentTimeMar 3rd 2010

    To help a bit to see how Thomas’s work fits into the general framework, I have been doing a bit of maintenance work on [[simplicial T-complexes]] and [[crossed complexes]], including mention of the nerve of a crossed complex.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMar 3rd 2010

    Thanks, Tim.

    Could one maybe add a remark about results about simplicial T-complexes? We have the definition, and, as you amplify, it is more restrcitve than just saying that for every horn a filler has been chosen. So it would be good to understand what the extra conditions accomplish. What is it they allow to prove? Or generally, what did people in the literature accomplish or try to accomplish with simplicial T-complexes.

    Remarks on questions like this might be good at simplicial T-complex.

    • CommentRowNumber5.
    • CommentAuthorTim_Porter
    • CommentTimeFeb 17th 2019

    Updated Thomas’s Homepage as the link was dead.

    diff, v17, 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)