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 bundle bundles calculus 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 finite foundations functional-analysis functor galois-theory gauge-theory gebra geometric-quantization geometry graph graphs gravity 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 homology homotopy homotopy-theory homotopy-type-theory index-theory infinity integration integration-theory itex k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory 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 planar 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).
    • seeing Eric create diffeology I became annoyed by the poor state that the entry diffeological space was in. So I spent some minutes expanding and editing it. Still far from perfect, but a step in the right direction, I think.

      (One day I should add details on how the various sites in use are equivalent to using CartSp)

    • Characterized full faithfulness in terms of a pullback

      diff, v15, current

    • edited classifying topos and added three bits to it. They are each marked with a comment "check the following".

      This is in reaction to a discussion Mike and I are having with Richard Williamson by email.

    • I have started working on Diff: added a subsection with discussion of its properties as a site.

      Added statement and proof of the fact that

      • Sh(Diff)Sh(Diff) is a cohesive topos (direct consequence of the comparison lemma)

      • Sh (,1)(Diff)Sh_{(\infty,1)}(Diff) is a cohesive (infinity,1)-topos (easy with some lemmas from the literature, but not immediate (I think))

    • brief category:people-entry for hyperlinking references

      v1, current

    • http://ncatlab.org/nlab/show/Isbell+duality

      Suggests that Stone, Gelfand, … duality are special cases of the adjunction between CoPresheaves and Presheaves. A similar question is raised here. http://mathoverflow.net/questions/84641/theme-of-isbell-duality

      However, this paper http://www.emis.ams.org/journals/TAC/volumes/20/15/20-15.pdf

      seems to use another definition. Could someone please clarify?

    • In the section “In terms of truncations” I have added a few more cross links (both between the definitions in that section as well as to the respective items in HTT).

      diff, v55, current

    • Just noticed that when this page is shown in a Google search, the link from the Google page does not work. It seems that the “+” sign that used to be in the entry title gets interpreted as a whitespace.

      Therefore I am now changing the page name, replacing “+” by “and”. This should fix the problem, once Google picks up the change.

      diff, v11, current

    • discovered this old entry. Am renaming it to bijective on objects functor, for readability, making the previous “bo functor” a redirect

      diff, v11, current

    • a bare list of entry names, to be !include-ed into the “Related concepts”-sections of the relevant entries – for ease of cross-linking

      v1, current

    • started to add to internalization a list of links to examples. Probably we have much more.

    • As an outcome of recent discussion at Math Overflow here, Mike Shulman suggested some nLab pages where comparisons of different definitions of compactness are rigorously established. I have created one such page: compactness and stable closure. (The importance and significance of the stable closure condition should be brought out better.)

    • am starting some minimum here. Have been trying to read up on this topic. This will likely become huge towards beginning of next year

      v1, current

    • Added a reference

      • John Rognes, Galois extensions of structured ring spectra/Stably dualizable groups, Memoires of the American Mathematical Society, 192(898), 2008, partly available as (pdf)

      diff, v11, current