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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 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

1. • CommentRowNumber1.
   • CommentAuthorTodd_Trimble
   • CommentTimeJul 27th 2011
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexI completed the proof of the corollary which states that for any monad $T$ on $Set$, that $Set^T$ has colimits.

   I completed the proof of the corollary which states that for any monad $T$ on $Set$, that $Set^T$ has colimits.

2. • CommentRowNumber2.
   • CommentAuthorRodMcGuire
   • CommentTimeJul 27th 2011
   • (edited Jul 27th 2011)
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   Author: RodMcGuire
   Format: MarkdownItexwhere? EDIT. I was pointing out that your proof had no link. I will delete this comment if you go back and edit your initial posting to provide a link, and then you can delete your follow on.

   where?

   EDIT. I was pointing out that your proof had no link. I will delete this comment if you go back and edit your initial posting to provide a link, and then you can delete your follow on.

3. • CommentRowNumber3.
   • CommentAuthorTodd_Trimble
   • CommentTimeJul 27th 2011
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexThe first corollary <a href="http://ncatlab.org/nlab/show/colimits+in+categories+of+algebras#reflexive_coequalizers_and_cocompleteness_16">here</a>.

   The first corollary here.