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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: MarkdownItexfor ease of linking, I gave this statement its own entry, to go along with the companion entries _[[adjoints preserve (co-)limits]]_ and _[[hom-functor preserves limits]]_ (and maybe more of this kind, to come) <a href="https://ncatlab.org/nlab/revision/limits+commute+with+limits/1">v1</a>, <a href="https://ncatlab.org/nlab/show/limits+commute+with+limits">current</a>

   for ease of linking, I gave this statement its own entry, to go along with the companion entries adjoints preserve (co-)limits and hom-functor preserves limits (and maybe more of this kind, to come)

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 1st 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Saunders MacLane]], §IX.2 in: *[[Categories for the Working Mathematician]]*, Graduate texts in mathematics, Springer (1971) &lbrack;[doi:10.1007/978-1-4757-4721-8](https://link.springer.com/book/10.1007/978-1-4757-4721-8)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/limits+commute+with+limits/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/limits+commute+with+limits/4">v4</a>, <a href="https://ncatlab.org/nlab/show/limits+commute+with+limits">current</a>

   added pointer to:

   • Saunders MacLane, §IX.2 in: Categories for the Working Mathematician, Graduate texts in mathematics, Springer (1971) [doi:10.1007/978-1-4757-4721-8]

   diff, v4, current