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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 definitions 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 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 nforum 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.
   • CommentAuthorRichard Williamson
   • CommentTimeJul 10th 2020
   • PermaLink
   Author: Richard Williamson
   Format: MarkdownItexCreating the page. Described briefly both the usual Lack model structure and the model structure using semi-strict equivalences coming from my thesis. A lot more could be added. <a href="https://ncatlab.org/nlab/revision/canonical+model+structure+on+2-categories/1">v1</a>, <a href="https://ncatlab.org/nlab/show/canonical+model+structure+on+2-categories">current</a>

   Creating the page. Described briefly both the usual Lack model structure and the model structure using semi-strict equivalences coming from my thesis. A lot more could be added.

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorRichard Williamson
   • CommentTimeSep 16th 2020
   • (edited Sep 16th 2020)
   • PermaLink
   Author: Richard Williamson
   Format: MarkdownItexCorrecting the terminology for the equivalences: 'strict equivalences' was used before, which has a different meaning. What was intended, I think, was simply to refer to the fact that the functors are strict. <a href="https://ncatlab.org/nlab/revision/diff/canonical+model+structure+on+2-categories/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/canonical+model+structure+on+2-categories/2">v2</a>, <a href="https://ncatlab.org/nlab/show/canonical+model+structure+on+2-categories">current</a>

   Correcting the terminology for the equivalences: ’strict equivalences’ was used before, which has a different meaning. What was intended, I think, was simply to refer to the fact that the functors are strict.

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeFeb 23rd 2024
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexIt seems that the definition of semi-strict equivalence on this page can't be right. Shouldn't they be the ordinary sort of "homotopy equivalences" defined using the semi-strict interval $\mathcal{E}_{semi}$?

   It seems that the definition of semi-strict equivalence on this page can’t be right. Shouldn’t they be the ordinary sort of “homotopy equivalences” defined using the semi-strict interval $\mathcal{E}_{semi}$?

4. • CommentRowNumber4.
   • CommentAuthorMike Shulman
   • CommentTimeMar 8th 2024
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexFix definition of semi-strict equivalence <a href="https://ncatlab.org/nlab/revision/diff/canonical+model+structure+on+2-categories/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/canonical+model+structure+on+2-categories/5">v5</a>, <a href="https://ncatlab.org/nlab/show/canonical+model+structure+on+2-categories">current</a>

   Fix definition of semi-strict equivalence

   diff, v5, current

5. • CommentRowNumber5.
   • CommentAuthorMike Shulman
   • CommentTimeMar 8th 2024
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexAdded some more details about Lack's model structure. <a href="https://ncatlab.org/nlab/revision/diff/canonical+model+structure+on+2-categories/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/canonical+model+structure+on+2-categories/5">v5</a>, <a href="https://ncatlab.org/nlab/show/canonical+model+structure+on+2-categories">current</a>

   Added some more details about Lack’s model structure.

   diff, v5, current