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.
   • CommentAuthorTobyBartels
   • CommentTimeJun 19th 2013
   • PermaLink
   Author: TobyBartels
   Format: MarkdownItexWhy do we want [[closed space]] to redirect to [[closed subspace]]?

   Why do we want closed space to redirect to closed subspace?

2. • CommentRowNumber2.
   • CommentAuthorTodd_Trimble
   • CommentTimeJun 19th 2013
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexWhat is a closed space, if not a closed subspace?

   What is a closed space, if not a closed subspace?

3. • CommentRowNumber3.
   • CommentAuthorTobyBartels
   • CommentTimeJun 19th 2013
   • PermaLink
   Author: TobyBartels
   Format: MarkdownItexA [[closed manifold]], hence the disambiguation block. I generally don\'t see ‘closed space’ as such; Google gives me only ‘H-closed space’, a mistake made by an undergraduate (who knew that they were confused), and non-mathematical stuff. I would leave it either unlinked or a new page that links to [[closed subspace]], [[closed manifold]], and maybe [[compact space]].

   A closed manifold, hence the disambiguation block.

   I generally don't see ‘closed space’ as such; Google gives me only ‘H-closed space’, a mistake made by an undergraduate (who knew that they were confused), and non-mathematical stuff. I would leave it either unlinked or a new page that links to closed subspace, closed manifold, and maybe compact space.

4. • CommentRowNumber4.
   • CommentAuthorTodd_Trimble
   • CommentTimeJun 19th 2013
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexYeah, I've never seen 'closed space' as such. But I think I better understand your #1: it's not that you want [[closed space]] to begin with, it's that you don't want it at all! And I'd agree. 'Closed set' on the other hand is a different story.

   Yeah, I’ve never seen ’closed space’ as such. But I think I better understand your #1: it’s not that you want closed space to begin with, it’s that you don’t want it at all! And I’d agree. ’Closed set’ on the other hand is a different story.

5. • CommentRowNumber5.
   • CommentAuthorTobyBartels
   • CommentTimeJun 19th 2013
   • PermaLink
   Author: TobyBartels
   Format: MarkdownItexRight; when people say ‘closed set’, they mean a [[concrete set]] (a subset of some ambient class), not an [[abstract set]] (an object of some well-pointed pretopos). Other words have [[concrete and abstract structures|concrete and abstract senses]], but ‘space’ is used only in an abstract sense.

   Right; when people say ‘closed set’, they mean a concrete set (a subset of some ambient class), not an abstract set (an object of some well-pointed pretopos). Other words have concrete and abstract senses, but ‘space’ is used only in an abstract sense.