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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
   • CommentTimeAug 30th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexfor completeness, to go with *[[strict 2-category]]* and *[[(2,1)-category]]* <a href="https://ncatlab.org/nlab/revision/strict+%282%2C1%29-category/1">v1</a>, <a href="https://ncatlab.org/nlab/show/strict+%282%2C1%29-category">current</a>

   for completeness, to go with strict 2-category and (2,1)-category

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeSep 1st 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * Chapter VI of: [[Hans-Joachim Baues]], *Combinatorial Homotopy and 4-Dimensional Complexes*, Expositions in Mathematics, De Gruyter 1991 ([doi:10.1515/9783110854480](https://doi.org/10.1515/9783110854480)) for the terminology "track category" Also copied over refereces from *[[Toda bracket]]* which discuss Toda brackets in the homotopy 2-category, regarded as a strict $(2,1)$-category, hence "track category". <a href="https://ncatlab.org/nlab/revision/diff/strict+%282%2C1%29-category/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/strict+%282%2C1%29-category/3">v3</a>, <a href="https://ncatlab.org/nlab/show/strict+%282%2C1%29-category">current</a>

   added pointer to:

   • Chapter VI of: Hans-Joachim Baues, Combinatorial Homotopy and 4-Dimensional Complexes, Expositions in Mathematics, De Gruyter 1991 (doi:10.1515/9783110854480)

   for the terminology “track category”

   Also copied over refereces from Toda bracket which discuss Toda brackets in the homotopy 2-category, regarded as a strict $(2,1)$-category, hence “track category”.

   diff, v3, current