Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

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.
   • CommentAuthornLab edit announcer
   • CommentTimeMay 14th 2022
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexPage created, but author did not leave any comments. Anonymous <a href="https://ncatlab.org/nlab/revision/Heyting+algebra+object/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Heyting+algebra+object">current</a>

   Page created, but author did not leave any comments.

   Anonymous

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 14th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexThis series of entries ought to be cross-linked with *[[internalization]]*. I have added this Idea-paragraph: > The notion of a *Heyting algebra object* is the generalization of that of *[[Heyting algebra]]* as one passes from the ambient [[category of sets]] [[internalization|into]] more general ambient [[categories]] with suitable properties. <a href="https://ncatlab.org/nlab/revision/diff/Heyting+algebra+object/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/Heyting+algebra+object/2">v2</a>, <a href="https://ncatlab.org/nlab/show/Heyting+algebra+object">current</a>

   This series of entries ought to be cross-linked with internalization. I have added this Idea-paragraph:

   The notion of a Heyting algebra object is the generalization of that of Heyting algebra as one passes from the ambient category of sets into more general ambient categories with suitable properties.

   diff, v2, current