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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.
   • CommentAuthorUrs
   • CommentTimeJul 14th 2020
   • (edited Jul 14th 2020)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * [[Emily Riehl]], [[Dominic Verity]], Section 3 of: _Fibrations and Yoneda's lemma in an $\infty$-cosmos_, Journal of Pure and Applied Algebra Volume 221, Issue 3, March 2017, Pages 499-564 ([arXiv:1506.05500](https://arxiv.org/abs/1506.05500), [doi:10.1016/j.jpaa.2016.07.003](https://doi.org/10.1016/j.jpaa.2016.07.003)) <a href="https://ncatlab.org/nlab/revision/diff/homotopy+2-category/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopy+2-category/4">v4</a>, <a href="https://ncatlab.org/nlab/show/homotopy+2-category">current</a>

   added pointer to

   • Emily Riehl, Dominic Verity, Section 3 of: Fibrations and Yoneda’s lemma in an $\infty$-cosmos, Journal of Pure and Applied Algebra Volume 221, Issue 3, March 2017, Pages 499-564 (arXiv:1506.05500, doi:10.1016/j.jpaa.2016.07.003)

   diff, v4, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeFeb 11th 2021
   • (edited Feb 11th 2021)
   • PermaLink
   Author: Urs
   Format: MarkdownItexhave added this pointer: *** On the [[Toda bracket]] understood as a [[homotopy coherent diagram|homotopy-coherent]] [[pasting diagram]] in a [[homotopy 2-category]]: * [[Keith Hardie]], [[Klaus Heiner Kamps]], [[Rudger Kieboom]], _Higher homotopy groupoids and Toda brackets_, Homology Homotopy Appl. Volume 1, Number 1 (1999), 117-134 ([euclid:hha/1139840198](https://projecteuclid.org/euclid.hha/1139840198)) <a href="https://ncatlab.org/nlab/revision/diff/homotopy+2-category/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopy+2-category/6">v6</a>, <a href="https://ncatlab.org/nlab/show/homotopy+2-category">current</a>

   have added this pointer:

   ---

   On the Toda bracket understood as a homotopy-coherent pasting diagram in a homotopy 2-category:

   • Keith Hardie, Klaus Heiner Kamps, Rudger Kieboom, Higher homotopy groupoids and Toda brackets, Homology Homotopy Appl. Volume 1, Number 1 (1999), 117-134 (euclid:hha/1139840198)

   diff, v6, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJun 6th 2024
   • (edited Jun 6th 2024)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Eduardo J. Dubuc]], Jacqueline Girabel: *The 2-localization of a model category*, Theory and Applications of Categories **40** 18 (2024) 537-574 &lbrack;[arXiv:2208.00314](https://arxiv.org/abs/2208.00314), [tac:40-18](http://www.tac.mta.ca/tac/volumes/40/18/40-18abs.html), [pdf](http://www.tac.mta.ca/tac/volumes/40/18/40-18.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/homotopy+2-category/13">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopy+2-category/13">v13</a>, <a href="https://ncatlab.org/nlab/show/homotopy+2-category">current</a>

   added pointer to:

   • Eduardo J. Dubuc, Jacqueline Girabel: The 2-localization of a model category, Theory and Applications of Categories 40 18 (2024) 537-574 [arXiv:2208.00314, tac:40-18, pdf]

   diff, v13, current