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 complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration 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 nforum 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
    • CommentTimeSep 6th 2011
    • (edited Sep 6th 2011)

    I have started a page compactly generated model category. But this is at best “under construction” (I have added a warning). I first just wanted to record Jardine’s definition referred to there. But I find something weird at least in the notation he has (he must mean homotopy colimits in the simplicial localization instead of plain colimits on homotopy hom-sets?!), and I don’t seem to find two different autrhors that agree on all the ingredients.

    I’ll leave the entry in this unsatisfactory state for the moment. There is a warning.

    • CommentRowNumber2.
    • CommentAuthorHarry Gindi
    • CommentTimeSep 6th 2011

    Why would he require it for homotopy colimits? That’s not the point of that condition.

    I mean… the reason why he does it that way is only obvious if you actually read through the whole paper, because it does actually make sense.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 6th 2011
    • (edited Sep 6th 2011)

    I guess you are right. I should buckle down to sort out in the entry all the different definitions. Or you should! ;-)

    • CommentRowNumber4.
    • CommentAuthorHarry Gindi
    • CommentTimeSep 6th 2011

    It seems like May, Mandell, Shipley, and Schwede are using it to mean something very different.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeSep 6th 2011

    Yes, it’s a pain.