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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 nlab noncommutative noncommutative-geometry number-theory object 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.
   • CommentAuthorvarkor
   • CommentTimeOct 11th 2023
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   Author: varkor
   Format: MarkdownItexCreated a stub for this concept. <a href="https://ncatlab.org/nlab/revision/internal+pseudocategories/1">v1</a>, <a href="https://ncatlab.org/nlab/show/internal+pseudocategories">current</a>

   Created a stub for this concept.

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorvarkor
   • CommentTimeOct 11th 2023
   • PermaLink
   Author: varkor
   Format: MarkdownItexAdded some redirects. <a href="https://ncatlab.org/nlab/revision/internal+pseudocategory/1">v1</a>, <a href="https://ncatlab.org/nlab/show/internal+pseudocategory">current</a>

   Added some redirects.

   v1, current

3. • CommentRowNumber3.
   • CommentAuthorzskoda
   • CommentTimeOct 11th 2023
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   Author: zskoda
   Format: MarkdownItexI am a bit confused, I always thought that the canonical setup for pseudomonoids were Gray-categories hence this should also hold for their horizontal categorification. Where am I wrong ?

   I am a bit confused, I always thought that the canonical setup for pseudomonoids were Gray-categories hence this should also hold for their horizontal categorification. Where am I wrong ?

4. • CommentRowNumber4.
   • CommentAuthorvarkor
   • CommentTimeOct 12th 2023
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   Author: varkor
   Format: MarkdownItexRe. 3: It's the same distinction as in the one-dimensional setting, where one defines monoids internal to any monoidal category, but categories internal to any category with pullbacks. There's a generalisation of the latter to monoidal categories with nice equalisers: perhaps that is possible also for pseudocategories, but I don't believe anyone has done so.

   Re. 3: It’s the same distinction as in the one-dimensional setting, where one defines monoids internal to any monoidal category, but categories internal to any category with pullbacks. There’s a generalisation of the latter to monoidal categories with nice equalisers: perhaps that is possible also for pseudocategories, but I don’t believe anyone has done so.