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 book bundles calculus categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics comma complex complex-geometry computable-mathematics computer-science constructive constructive-mathematics cosmology definitions 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-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 internal-categories k-theory kan lie-theory 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 nlab nonassociative 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).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 14th 2012
    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeMay 17th 2012

    Colimit may be indexed over any directed set here, not just a sequence ?

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 17th 2012

    True, the literature speaks of sequential colimits. Does it make a difference?

    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeMay 17th 2012

    I think it should be important. Namely, it is supposed to be one of the major techniques to look at shape theory in noncommutative generalization (see e.g. papers by Dadarlat). In the commutative case, in shape theory, one approximates with inverse systems (not just sequences) of ANRs. I forgot which class of C *C^\ast-algebras they exactly corresponds in commutative case (there is a paper which does this). But I am rusty in this, I recall listening a comprehensive talk in Spring 2002 at Purdue by some collaborator of Dadarlat, this talk spurred my interest in UHF algebras and then I looked again few times few years ago. But now my memory is rusty. In any case, I think it deserves some care eventually. Hopefully I will have once a chance to work more at the entry and literature.

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)