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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.
   • CommentAuthorUrs
   • CommentTimeNov 6th 2010
   • (edited Feb 16th 2012)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI rewrote the Idea-section of [[geometry (for structured (infinity,1)-toposes)]], tring to make it more to the point and much shorter. Also highlighted the relation to oo-algebraic theories.

   I rewrote the Idea-section of geometry (for structured (infinity,1)-toposes), tring to make it more to the point and much shorter. Also highlighted the relation to oo-algebraic theories.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeDec 29th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexI once again rewrote the Idea-section of [[geometry (for structured (infinity,1)-toposes)]], trying to highlight the general concept better, starting from the statement that a geometry is category equipped compatibly with two dual structures/properties: that of a site and that of an essentially algebraic theory.

   I once again rewrote the Idea-section of geometry (for structured (infinity,1)-toposes), trying to highlight the general concept better, starting from the statement that a geometry is category equipped compatibly with two dual structures/properties: that of a site and that of an essentially algebraic theory.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeFeb 16th 2012
   • (edited Feb 16th 2012)
   • PermaLink
   Author: Urs
   Format: MarkdownItexIn the section _[Geometry](http://ncatlab.org/nlab/show/geometry+%28for+structured+%28infinity,1%29-toposes%29#Geometry)_ I fixed two problems, that were pointed out by Stephan Spahn in another thread: where it said "2-out-of-3" it should read "2/3 of 2-out-of-3" or better, probably: "right cancellability". And the statement of closure under retracts was missing. The whole entry would deserve some polishing. Maybe later.

   In the section Geometry I fixed two problems, that were pointed out by Stephan Spahn in another thread: where it said “2-out-of-3” it should read “2/3 of 2-out-of-3” or better, probably: “right cancellability”. And the statement of closure under retracts was missing.

   The whole entry would deserve some polishing. Maybe later.