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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.
   • CommentAuthorIngoBlechschmidt
   • CommentTimeFeb 7th 2013
   • PermaLink
   Author: IngoBlechschmidt
   Format: MarkdownItexAdded to _[[reduced scheme]]_ a characterization of reducedness by the internal language of the corresponding sheaf topos: A scheme $X$ is reduced iff its structure ring $\mathcal{O}_X$ is a residue field in the internal sense of $\mathrm{Sh}(X)$.

   Added to reduced scheme a characterization of reducedness by the internal language of the corresponding sheaf topos: A scheme $X$ is reduced iff its structure ring $\mathcal{O}_X$ is a residue field in the internal sense of $\mathrm{Sh}(X)$.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeFeb 8th 2013
   • (edited Feb 8th 2013)
   • PermaLink
   Author: Urs
   Format: MarkdownItexThanks! I have added some more links and a little bit of trivial this and that.

   Thanks!

   I have added some more links and a little bit of trivial this and that.