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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 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
   • CommentTimeJun 13th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexcopied over to here (from [[internal hom]]) statement and proof that also an [[internal hom]]-bifunctor preserves ordinary limits in both arguments (now [this prop](https://ncatlab.org/nlab/show/hom-functor+preserves+limits#InternalHomPreservesLimits)) <a href="https://ncatlab.org/nlab/revision/diff/hom-functor+preserves+limits/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/hom-functor+preserves+limits/2">v2</a>, <a href="https://ncatlab.org/nlab/show/hom-functor+preserves+limits">current</a>

   copied over to here (from internal hom) statement and proof that also an internal hom-bifunctor preserves ordinary limits in both arguments (now this prop)

   diff, v2, current

2. • CommentRowNumber2.
   • CommentAuthorMarc
   • CommentTimeJun 13th 2018
   • (edited Jun 13th 2018)
   • PermaLink
   Author: Marc
   Format: MarkdownItexchanged $\underset{\longrightarrow}{\lim}$ to $\underset{\longleftarrow}{\lim}$ for the limits in the proposition <a href="https://ncatlab.org/nlab/revision/diff/hom-functor+preserves+limits/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/hom-functor+preserves+limits/3">v3</a>, <a href="https://ncatlab.org/nlab/show/hom-functor+preserves+limits">current</a>

   changed $\underset{\longrightarrow}{\lim}$ to $\underset{\longleftarrow}{\lim}$ for the limits in the proposition

   diff, v3, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJun 13th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexThanks for catching this! I had the same typo at _[[geometry of physics -- categories and toposes]]_. Fixed now.

   Thanks for catching this! I had the same typo at geometry of physics – categories and toposes. Fixed now.