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
    • CommentTimeNov 24th 2009
    • (edited Nov 24th 2009)

    I split the material so far at "Bousfield localization" into

    and made Bousfield localization itself a dismbiguation page.

    Then I edited Bousfield localization of triangulated categories a bit and added some references.

    I expect it should be true that the (left) Bousfield localization of a model category whose homotopy category is a triangulated category corresponds to the Bousfield localization of that triangulated homotopy category, but I don't discuss a statement to that extent yet.

    I'd be grateful for explicit pointers to the literature on this. I haven't had time yet to look much even at the literature that I do list as BLoc for triang cats. Am too busy at the moment with BLoc for mod cats.

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeNov 25th 2009

    I would expect that every Bousfield localization above does induce a Bousfield loc in triangulated case, but maybe there are localizations downstairs which are not liftable. But my knowledge about the subject is close to zero.

  1. Right now the page is incorrect, if you divide by a nonthick you either not get a stable category, or you essentially take the thickening.

    omer bojan

    diff, v9, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeFeb 28th 2024

    Could you be more specific – the entry does require thickness.