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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.
   • CommentAuthorjesse
   • CommentTimeMar 8th 2017
   • (edited Mar 8th 2017)
   • PermaLink
   Author: jesse
   Format: MarkdownItexCreated a page for [[DLO]], the (first-order) theory of $(\mathbb{Q},<)$. Made some notes about model-theoretic properties, Cantor's theorem that all countable models of the theory are isomorphic, and also remarked (based on an exercise from Mac Lane and Moerdijk) that the subobject classifier for the topos $\mathbf{Set}^{(\mathbb{Q},<)}$ can be naturally identified with the Dedekind cuts on $\mathbb{Q}$.

   Created a page for DLO, the (first-order) theory of $(\mathbb{Q},<)$. Made some notes about model-theoretic properties, Cantor’s theorem that all countable models of the theory are isomorphic, and also remarked (based on an exercise from Mac Lane and Moerdijk) that the subobject classifier for the topos $\mathbf{Set}^{(\mathbb{Q},<)}$ can be naturally identified with the Dedekind cuts on $\mathbb{Q}$.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMar 8th 2017
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added the hyperlink "[[rational numbers]]" to your entry, also added at that entry a link back to "[[dense linear order]]". To keep things connected (cross-linking keywords helps people, but more importantly it helps Google to then help people to find entries)

   I have added the hyperlink “rational numbers” to your entry, also added at that entry a link back to “dense linear order”. To keep things connected (cross-linking keywords helps people, but more importantly it helps Google to then help people to find entries)

3. • CommentRowNumber3.
   • CommentAuthorTim_Porter
   • CommentTimeMar 8th 2017
   • PermaLink
   Author: Tim_Porter
   Format: MarkdownItexI fixed a typo. This looks interesting.

   I fixed a typo. This looks interesting.

4. • CommentRowNumber4.
   • CommentAuthorjesse
   • CommentTimeMar 8th 2017
   • PermaLink
   Author: jesse
   Format: MarkdownItexThanks!

   Thanks!