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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 finite 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 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 sheaves 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.
   • CommentAuthorMike Shulman
   • CommentTimeFeb 19th 2017
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexCreated [[sound doctrine]] as a stub to record relevant references.

   Created sound doctrine as a stub to record relevant references.

2. • CommentRowNumber2.
   • CommentAuthorjonsterling
   • CommentTimeMay 12th 2023
   • PermaLink
   Author: jonsterling
   Format: MarkdownItexReplaced dead link to the "classification of accessible categories" paper <a href="https://ncatlab.org/nlab/revision/diff/sound+doctrine/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/sound+doctrine/3">v3</a>, <a href="https://ncatlab.org/nlab/show/sound+doctrine">current</a>

   Replaced dead link to the “classification of accessible categories” paper

   diff, v3, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMay 12th 2023
   • (edited May 12th 2023)
   • PermaLink
   Author: Urs
   Format: MarkdownItexThe word "doctrine" never appeared in the entry, after the title. After looking at * [[Jiří Adámek]], [[Francis Borceux]], [[Stephen Lack]], [[Jiri Rosicky]], *A classification of accessible categories*, Journal of Pure and Applied Algebra **175** 1–3 (2002) 7-30 &lbrack;<a href="https://doi.org/10.1016/S0022-4049(02)00126-3">doi:10.1016/S0022-4049(02)00126-3</a>&rbrack; for which I now added the publication data, I have reworded the entry to say: > ...is called *sound* as a *[[doctrine]] of limits* &lbrack;[Adámek, Borceux, Lack & Rosicky (2002)](https://ncatlab.org/nlab/show/sound+doctrine#AdámekBorceuxLAckRosicky2002)&rbrack; if... and I have renamed the entry from "sound doctrine" (which gave the wrong impression of being about general doctrines) to "sound doctrine of limits" which is (or almost) what these authors actually speak about <a href="https://ncatlab.org/nlab/revision/diff/sound+doctrine+of+limits/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/sound+doctrine+of+limits/4">v4</a>, <a href="https://ncatlab.org/nlab/show/sound+doctrine+of+limits">current</a>

   The word “doctrine” never appeared in the entry, after the title.

   After looking at

   • Jiří Adámek, Francis Borceux, Stephen Lack, Jiri Rosicky, A classification of accessible categories, Journal of Pure and Applied Algebra 175 1–3 (2002) 7-30 [doi:10.1016/S0022-4049(02)00126-3]

   for which I now added the publication data, I have reworded the entry to say:

   …is called sound as a doctrine of limits [Adámek, Borceux, Lack & Rosicky (2002)] if…

   and I have renamed the entry from “sound doctrine” (which gave the wrong impression of being about general doctrines) to “sound doctrine of limits” which is (or almost) what these authors actually speak about

   diff, v4, current