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 internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure 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

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeApr 15th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded to [[(infinity,1)-category of (infinity,1)-presheaves]] a <a href="http://ncatlab.org/nlab/show/(infinity%2C1)-category+of+(infinity%2C1)-presheaves#FreeColimCompletion">section</a> on how it is the free (oo,1)-cocompletion

   added to (infinity,1)-category of (infinity,1)-presheaves a section on how it is the free (oo,1)-cocompletion

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeApr 15th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexexpanded also the subsection on <a href="http://ncatlab.org/nlab/show/(infinity%2C1)-category+of+(infinity%2C1)-presheaves#Models">Models</a>.

   expanded also the subsection on Models.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeApr 15th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded Dugger's model category theoretic version of the free cocompletion property of (oo,1)-ptesheaves to <a href="http://ncatlab.org/nlab/show/(infinity%2C1)-category+of+(infinity%2C1)-presheaves#FreeColimCompletion">(oo,1)-Category of (oo,1)-presheaves -- Free cocompletion</a>. Copied the same also into the reference article [[Universal homotopy theories]]

   added Dugger’s model category theoretic version of the free cocompletion property of (oo,1)-ptesheaves to (oo,1)-Category of (oo,1)-presheaves – Free cocompletion.

   Copied the same also into the reference article Universal homotopy theories

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeApr 15th 2010
   • (edited Apr 15th 2010)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded in the <a href="http://ncatlab.org/nlab/show/(infinity%2C1)-category+of+(infinity%2C1)-presheaves#FreeColimCompletion">free co-completion section</a> the details of the proof of Dugger's model-category theoretic version of exhibiting the (oo,1)-category of (oo,1)-presheaves as the free co-completion.

   added in the free co-completion section the details of the proof of Dugger’s model-category theoretic version of exhibiting the (oo,1)-category of (oo,1)-presheaves as the free co-completion.