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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
   • CommentTimeMay 1st 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexregarding the discussion of filtered colimits commuting with finite limits (which is, for better or worse, hiding here in an entry titled "filtered limits"), I have added pointer also 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; and added publication data for: * [[Marie Bjerrum]], [[Peter Johnstone]], [[Tom Leinster]], [[William F. Sawin]], *Notes on commutation of limits and colimits*, Theory and Applications of Categories **30** (2015), 527-532 &lbrack;[arXiv:1409.7860](http://arxiv.org/abs/1409.7860), [tac:3015](http://www.tac.mta.ca/tac/volumes/30/15/30-15abs.html)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/filtered+limit/32">diff</a>, <a href="https://ncatlab.org/nlab/revision/filtered+limit/32">v32</a>, <a href="https://ncatlab.org/nlab/show/filtered+limit">current</a>

   regarding the discussion of filtered colimits commuting with finite limits (which is, for better or worse, hiding here in an entry titled “filtered limits”), I have added pointer also 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]

   and added publication data for:

   • Marie Bjerrum, Peter Johnstone, Tom Leinster, William F. Sawin, Notes on commutation of limits and colimits, Theory and Applications of Categories 30 (2015), 527-532 [arXiv:1409.7860, tac:3015]

   diff, v32, current

2. • CommentRowNumber2.
   • CommentAuthorvarkor
   • CommentTimeMar 9th 2024
   • PermaLink
   Author: varkor
   Format: MarkdownItexAdded a reference to a paper of Andréka and Németi on the relationship between directed and filtered colimits. <a href="https://ncatlab.org/nlab/revision/diff/filtered+limit/34">diff</a>, <a href="https://ncatlab.org/nlab/revision/filtered+limit/34">v34</a>, <a href="https://ncatlab.org/nlab/show/filtered+limit">current</a>

   Added a reference to a paper of Andréka and Németi on the relationship between directed and filtered colimits.

   diff, v34, current

3. • CommentRowNumber3.
   • CommentAuthorDmitri Pavlov
   • CommentTimeMar 10th 2024
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexRenamed the article to “filtered colimit”, since this name is far more common than the rather rare “filtered limit”. <a href="https://ncatlab.org/nlab/revision/diff/filtered+colimit/35">diff</a>, <a href="https://ncatlab.org/nlab/revision/filtered+colimit/35">v35</a>, <a href="https://ncatlab.org/nlab/show/filtered+colimit">current</a>

   Renamed the article to “filtered colimit”, since this name is far more common than the rather rare “filtered limit”.

   diff, v35, current