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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
   • CommentTimeMay 20th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Saunders MacLane]], §I.7 of: *[[Categories for the Working Mathematician]]*, Graduate Texts in Mathematics **5** Springer (1971, second ed. 1997) &lbrack;[doi:10.1007/978-1-4757-4721-8](https://link.springer.com/book/10.1007/978-1-4757-4721-8)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/large+category/23">diff</a>, <a href="https://ncatlab.org/nlab/revision/large+category/23">v23</a>, <a href="https://ncatlab.org/nlab/show/large+category">current</a>

   added pointer to:

   • Saunders MacLane, §I.7 of: Categories for the Working Mathematician, Graduate Texts in Mathematics 5 Springer (1971, second ed. 1997) [doi:10.1007/978-1-4757-4721-8]

   diff, v23, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 4th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Horst Schubert]], §3.6 in: *Categories*, Springer (1972) &lbrack;[doi:10.1007/978-3-642-65364-3](https://doi.org/10.1007/978-3-642-65364-3)&rbrack; Different versions of the following list of references (all seemingly unpublished?) appeared in various in nLab entries (such as, here, also at *[[Grothendieck universe]]* and at *[[category theory and foundations]]*): * [[Mike Shulman]], *Set theory for category theory* &lbrack;[arXiv:0810.1279](http://www.arxiv.org/abs/0810.1279)&rbrack; * [[Daniel Murfet]], _Foundations for category theory_ (2006) &lbrack;[pdf](http://therisingsea.org/notes/FoundationsForCategoryTheory.pdf)&rbrack; * [[Zhen Lin Low]], _Universes for category theory_ &lbrack;[arxiv/1304.5227](http://arxiv.org/abs/1304.5227)&rbrack; * [[Paul Blain Levy]], _Formulating Categorical Concepts using Classes_ &lbrack;[arXiv:1801.08528](https://arxiv.org/abs/1801.08528)&rbrack; I have tried to harmonize this list across these entries, adding items where they were missing. <a href="https://ncatlab.org/nlab/revision/diff/large+category/25">diff</a>, <a href="https://ncatlab.org/nlab/revision/large+category/25">v25</a>, <a href="https://ncatlab.org/nlab/show/large+category">current</a>

   added pointer to:

   • Horst Schubert, §3.6 in: Categories, Springer (1972) [doi:10.1007/978-3-642-65364-3]

   Different versions of the following list of references (all seemingly unpublished?) appeared in various in nLab entries (such as, here, also at Grothendieck universe and at category theory and foundations):

   • Mike Shulman, Set theory for category theory [arXiv:0810.1279]

   • Daniel Murfet, Foundations for category theory (2006) [pdf]

   • Zhen Lin Low, Universes for category theory [arxiv/1304.5227]

   • Paul Blain Levy, Formulating Categorical Concepts using Classes [arXiv:1801.08528]

   I have tried to harmonize this list across these entries, adding items where they were missing.

   diff, v25, current