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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
   • CommentTimeMay 5th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexan entry on (versions of) the 2-category of model categories seems to have been missing (we did have *[[double category of model categories]]*) created this here with some minimum info needed at *[[Grothendieck construction of model categories]]* <a href="https://ncatlab.org/nlab/revision/ModCat/1">v1</a>, <a href="https://ncatlab.org/nlab/show/ModCat">current</a>

   an entry on (versions of) the 2-category of model categories seems to have been missing

   (we did have double category of model categories)

   created this here with some minimum info needed at Grothendieck construction of model categories

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 6th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Mark Hovey]], p. 24 of: *[[Model Categories]]*, Mathematical Surveys and Monographs, **63** AMS (1999) &lbrack;[ISBN:978-0-8218-4361-1](https://bookstore.ams.org/surv-63-s), [doi:10.1090/surv/063](https://doi.org/http://dx.doi.org/10.1090/surv/063), [pdf](https://people.math.rochester.edu/faculty/doug/otherpapers/hovey-model-cats.pdf), [Google books](http://books.google.co.uk/books?id=Kfs4uuiTXN0C&printsec=frontcover)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/ModCat/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/ModCat/3">v3</a>, <a href="https://ncatlab.org/nlab/show/ModCat">current</a>

   added pointer to:

   • Mark Hovey, p. 24 of: Model Categories, Mathematical Surveys and Monographs, 63 AMS (1999) [ISBN:978-0-8218-4361-1, doi:10.1090/surv/063, pdf, Google books]

   diff, v3, current