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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.
   • CommentAuthorTodd_Trimble
   • CommentTimeFeb 14th 2016
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   Author: Todd_Trimble
   Format: MarkdownItexOver at [[rack]], I noticed brief mention of the notion of shelf. As some of you will know, shelves also crop up in large cardinal axioms, so I gave shelf its own subsection and mentioned some of the lore (e.g., Laver tables). The topic might be worth a separate page.

   Over at rack, I noticed brief mention of the notion of shelf. As some of you will know, shelves also crop up in large cardinal axioms, so I gave shelf its own subsection and mentioned some of the lore (e.g., Laver tables). The topic might be worth a separate page.

2. • CommentRowNumber2.
   • CommentAuthorMike Shulman
   • CommentTimeFeb 14th 2016
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   Author: Mike Shulman
   Format: MarkdownItexDefinitely worth its own page!

   Definitely worth its own page!

3. • CommentRowNumber3.
   • CommentAuthorGuest
   • CommentTimeOct 31st 2022
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   Author: Guest
   Format: MarkdownItexis it on purpose, that you swapped $\triangleright$ and $\triangleleft$ from the wikipedia definition? And if so, why?

   is it on purpose, that you swapped $\triangleright$ and $\triangleleft$ from the wikipedia definition? And if so, why?

4. • CommentRowNumber4.
   • CommentAuthorzskoda
   • CommentTimeNov 1st 2022
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   Author: zskoda
   Format: MarkdownItexDear Guest, please do some basic checking before accusing $n$labbers for laisy copying from wikipedia. The wikipedia article has been started in 2011, see <https://en.wikipedia.org/w/index.php?title=Racks_and_quandles&action=history>. The plethora of relations you refer to about the triangle left and right actions are in $n$Lab from 2010, see version 3 <https://ncatlab.org/nlab/revision/rack/3>. A left action in mathematics is more standardly denoted by triangle pointed to the left, which is LaTeX command triangleright, $\triangleright$. The conventions in the current wikipedia article are nonstandard.

   Dear Guest, please do some basic checking before accusing $n$labbers for laisy copying from wikipedia. The wikipedia article has been started in 2011, see https://en.wikipedia.org/w/index.php?title=Racks_and_quandles&action=history. The plethora of relations you refer to about the triangle left and right actions are in $n$Lab from 2010, see version 3 https://ncatlab.org/nlab/revision/rack/3. A left action in mathematics is more standardly denoted by triangle pointed to the left, which is LaTeX command triangleright, $\triangleright$. The conventions in the current wikipedia article are nonstandard.

5. • CommentRowNumber5.
   • CommentAuthorGuest
   • CommentTimeNov 2nd 2022
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   Author: Guest
   Format: TextDear zskoda, I am sorry for my wording, you are absolutely correct. Thank you for explaining! <3

   Dear zskoda, I am sorry for my wording, you are absolutely correct. Thank you for explaining! <3
6. • CommentRowNumber6.
   • CommentAuthorzskoda
   • CommentTimeNov 3rd 2022
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   Author: zskoda
   Format: MarkdownItexYou are welcome !

   You are welcome !