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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
   • CommentTimeOct 31st 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[David Jaz Myers]], _String Diagrams For Double Categories and (Virtual) Equipments_ &lbrack;[arXiv:1612.02762](https://arxiv.org/abs/1612.02762)&rbrack; * [[David Jaz Myers]], *String Diagrams for (Virtual) Proarrow Equipments* (2017) &lbrack;slides: [pdf](http://www.mat.uc.pt/~ct2017/slides/myers_d.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/2-category+equipped+with+proarrows/35">diff</a>, <a href="https://ncatlab.org/nlab/revision/2-category+equipped+with+proarrows/35">v35</a>, <a href="https://ncatlab.org/nlab/show/2-category+equipped+with+proarrows">current</a>

   added pointer to:

   • David Jaz Myers, String Diagrams For Double Categories and (Virtual) Equipments [arXiv:1612.02762]

   • David Jaz Myers, String Diagrams for (Virtual) Proarrow Equipments (2017) [slides: pdf]

   diff, v35, current

2. • CommentRowNumber2.
   • CommentAuthorDavid_Corfield
   • CommentTimeAug 8th 2023
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexAdded * Jaco Ruit, _Formal category theory in ∞-equipments I_ ([arXiv:2308.03583](https://arxiv.org/abs/2308.03583)) Maybe at some point we'll want a page for (∞, 1)-equipment. <a href="https://ncatlab.org/nlab/revision/diff/2-category+equipped+with+proarrows/36">diff</a>, <a href="https://ncatlab.org/nlab/revision/2-category+equipped+with+proarrows/36">v36</a>, <a href="https://ncatlab.org/nlab/show/2-category+equipped+with+proarrows">current</a>

   Added

   • Jaco Ruit, Formal category theory in ∞-equipments I (arXiv:2308.03583)

   Maybe at some point we’ll want a page for (∞, 1)-equipment.

   diff, v36, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeOct 12th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded publication data for these items; * [[Richard J. Wood]], *Abstract Proarrows I*, Cahiers de topologie et géométrie différentielle **23** 3 (1982) 279-290 &lbrack;[numdam:CTGDC_1982__23_3_279_0](http://www.numdam.org/item/CTGDC_1982__23_3_279_0)&rbrack; * [[Richard J. Wood]], *Proarrows II*, Cahiers de Topologie et Géométrie Différentielle Catégoriques **26** 2 (1985) 135-168 &lbrack;[numdam:CTGDC_1985__26_2_135_0](http://www.numdam.org/item/CTGDC_1985__26_2_135_0)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/2-category+equipped+with+proarrows/37">diff</a>, <a href="https://ncatlab.org/nlab/revision/2-category+equipped+with+proarrows/37">v37</a>, <a href="https://ncatlab.org/nlab/show/2-category+equipped+with+proarrows">current</a>

   added publication data for these items;

   • Richard J. Wood, Abstract Proarrows I, Cahiers de topologie et géométrie différentielle 23 3 (1982) 279-290 [numdam:CTGDC_1982__23_3_279_0]

   • Richard J. Wood, Proarrows II, Cahiers de Topologie et Géométrie Différentielle Catégoriques 26 2 (1985) 135-168 [numdam:CTGDC_1985__26_2_135_0]

   diff, v37, current

4. • CommentRowNumber4.
   • CommentAuthormattecapu
   • CommentTimeJan 30th 2024
   • PermaLink
   Author: mattecapu
   Format: MarkdownItexAdded correspondence between fibrancy conditions on a span and having companions/conjoints. Not sure this should be here, ideas are welcome. <a href="https://ncatlab.org/nlab/revision/diff/2-category+equipped+with+proarrows/38">diff</a>, <a href="https://ncatlab.org/nlab/revision/2-category+equipped+with+proarrows/38">v38</a>, <a href="https://ncatlab.org/nlab/show/2-category+equipped+with+proarrows">current</a>

   Added correspondence between fibrancy conditions on a span and having companions/conjoints. Not sure this should be here, ideas are welcome.

   diff, v38, current

5. • CommentRowNumber5.
   • CommentAuthormattecapu
   • CommentTimeJan 30th 2024
   • PermaLink
   Author: mattecapu
   Format: MarkdownItexFound an error. Removed my last addition for the time being. <a href="https://ncatlab.org/nlab/revision/diff/2-category+equipped+with+proarrows/39">diff</a>, <a href="https://ncatlab.org/nlab/revision/2-category+equipped+with+proarrows/39">v39</a>, <a href="https://ncatlab.org/nlab/show/2-category+equipped+with+proarrows">current</a>

   Found an error. Removed my last addition for the time being.

   diff, v39, current