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 beauty bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality education elliptic-cohomology enriched fibration 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 lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology multicategories 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 science 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.
    • CommentAuthorUrs
    • CommentTimeJan 6th 2011
    • (edited Jan 6th 2011)

    have created infinity-connected site

    • moved over from infinity-cohesive site the proof that the \infty-topos over a locally and globally \infty-connected site is locally and globally \infty-connected; (and had occasion to polish and streamline it a bit more)
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 6th 2011

    Wait, I made a mistake. am fixing it…

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJan 6th 2011

    Sorry, I had written the claim that open subsets of a locally contractibe topological space forms an example of the current definition of locally \infty-connected site. But that is trivially wrong (since we have non-connected open subsets and hence constant \infty-presheaves are not \infty-sheaves). Now, possibly that just means that the definition is currently too coarse.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJan 6th 2011

    Okay, so just a reminder for myself, lest I forget it once again (even though I just said it elsewher): the definition of \infty-connected locally \infty-connected site is good, but. the case of just locally \infty-connected sites needs more thinking.

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)