Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

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 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 sheaves 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

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeSep 6th 2011
   • (edited Sep 6th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI 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.

   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.

2. • CommentRowNumber2.
   • CommentAuthorHarry Gindi
   • CommentTimeSep 6th 2011
   • PermaLink
   Author: Harry Gindi
   Format: MarkdownItexWhy 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.

   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.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeSep 6th 2011
   • (edited Sep 6th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI guess you are right. I should buckle down to sort out in the entry all the different definitions. Or you should! ;-)

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

4. • CommentRowNumber4.
   • CommentAuthorHarry Gindi
   • CommentTimeSep 6th 2011
   • PermaLink
   Author: Harry Gindi
   Format: MarkdownItexIt seems like May, Mandell, Shipley, and Schwede are using it to mean something very different.

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

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeSep 6th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexYes, it's a pain.

   Yes, it’s a pain.