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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 nlab noncommutative noncommutative-geometry number-theory object 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.
   • CommentAuthorMike Shulman
   • CommentTimeJan 18th 2011
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   Author: Mike Shulman
   Format: MarkdownItexCreated [[pro-set]] with an adjunction and a counterexample.

   Created pro-set with an adjunction and a counterexample.

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeJan 18th 2011
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   Author: zskoda
   Format: MarkdownItexBeautiful and interesting entry.

   Beautiful and interesting entry.

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeJan 18th 2011
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   Author: Mike Shulman
   Format: MarkdownItexThanks!

   Thanks!

4. • CommentRowNumber4.
   • CommentAuthorDavid_Corfield
   • CommentTimeJan 19th 2011
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   Author: David_Corfield
   Format: MarkdownItexDoes Pro(Set) have another name, like Pro(FinSet) is Stone?

   Does Pro(Set) have another name, like Pro(FinSet) is Stone?

5. • CommentRowNumber5.
   • CommentAuthorMike Shulman
   • CommentTimeJan 19th 2011
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   Author: Mike Shulman
   Format: MarkdownItexI don't know of one. I think the counterexample there shows that no naive "Stone-like" identification of it will work.

   I don’t know of one. I think the counterexample there shows that no naive “Stone-like” identification of it will work.