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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 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 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 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 science 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.
   • CommentAuthorDavidRoberts
   • CommentTimeJun 5th 2012
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexAdded the reference Maria Emilia Maietti, Modular correspondence between dependent type theories and categories including pretopoi and topoi, Math. Struct. in Comp. Science (2005), vol. 15, pp. 1089–1149 to [[relation between type theory and category theory]]

   Added the reference

   Maria Emilia Maietti, Modular correspondence between dependent type theories and categories including pretopoi and topoi, Math. Struct. in Comp. Science (2005), vol. 15, pp. 1089–1149

   to relation between type theory and category theory

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 5th 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexThanks! I have 0 seconds to look at this right now, unfortunately. Could you say in a few words what it is the article shows?

   Thanks!

   I have 0 seconds to look at this right now, unfortunately. Could you say in a few words what it is the article shows?

3. • CommentRowNumber3.
   • CommentAuthorDavidRoberts
   • CommentTimeJun 5th 2012
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexIt considers, starting from lex categories up to toposes, what sort of dependent type theory corresponds to the internal logic of that sort of category. I haven't read it yet.

   It considers, starting from lex categories up to toposes, what sort of dependent type theory corresponds to the internal logic of that sort of category. I haven’t read it yet.

4. • CommentRowNumber4.
   • CommentAuthorMike Shulman
   • CommentTimeJun 6th 2012
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexThanks, this looks like an excellent reference! I'm surprised I haven't encountered it before.

   Thanks, this looks like an excellent reference! I’m surprised I haven’t encountered it before.