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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.
   • CommentAuthorUrs
   • CommentTimeOct 14th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexRe-discovered this entry while checking what the $n$Lab has on Hovey's old idea that model categories should themselves form a "2-model category". I believe this idea long predates the first reference that was given here, but checking now I only find "Hovey's Algebraic Topology Problem List" in undated HTML form and migrated, apparently, to new servers. So I don't know if the original idea can still be cited properly, but I have added a brief note * [here](https://ncatlab.org/nlab/show/model+2-category#References) with what I did find. <a href="https://ncatlab.org/nlab/revision/diff/model+2-category/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/model+2-category/9">v9</a>, <a href="https://ncatlab.org/nlab/show/model+2-category">current</a>

   Re-discovered this entry while checking what the $n$Lab has on Hovey’s old idea that model categories should themselves form a “2-model category”.

   I believe this idea long predates the first reference that was given here, but checking now I only find “Hovey’s Algebraic Topology Problem List” in undated HTML form and migrated, apparently, to new servers. So I don’t know if the original idea can still be cited properly, but I have added a brief note

   • here

   with what I did find.

   diff, v9, current