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 definitions 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 nforum 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
   • CommentTimeJun 22nd 2018
   • (edited Jun 22nd 2018)
   • PermaLink
   Author: Urs
   Format: MarkdownItexSince I got questions from the audience ([here](https://ncatlab.org/schreiber/show/Categories+and+Toposes)) why I defined (pre-)sheaves on a site, instead of on a topological space "as in the textbooks", I created this little entry with some basic pointers, which may complement the entry _[[localic topos]]_ for the newbie. Could of course be expanded a lot... <a href="https://ncatlab.org/nlab/revision/sheaves+on+a+topological+space/1">v1</a>, <a href="https://ncatlab.org/nlab/show/sheaves+on+a+topological+space">current</a>

   Since I got questions from the audience (here) why I defined (pre-)sheaves on a site, instead of on a topological space “as in the textbooks”, I created this little entry with some basic pointers, which may complement the entry localic topos for the newbie. Could of course be expanded a lot…

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 22nd 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexchanged page name to singular <a href="https://ncatlab.org/nlab/revision/sheaf+on+a+topological+space/1">v1</a>, <a href="https://ncatlab.org/nlab/show/sheaf+on+a+topological+space">current</a>

   changed page name to singular

   v1, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJun 22nd 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexrealized that we did have a brief entry "spatial topos". Have merged the two. Made "spatial topos" now a redirect to this one. <a href="https://ncatlab.org/nlab/revision/sheaf+on+a+topological+space/1">v1</a>, <a href="https://ncatlab.org/nlab/show/sheaf+on+a+topological+space">current</a>

   realized that we did have a brief entry “spatial topos”. Have merged the two. Made “spatial topos” now a redirect to this one.

   v1, current