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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeApr 13th 2017
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded statement-entry _[[closed subspaces of compact Hausdorff spaces are equivalently compact subspaces]]_. with proof by pointing to the two directions: 1. _[[closed subsets of compact spaces are compact]]_ 1. _[[compact subspaces of Hausdorff spaces are closed]]_ Cross-linked with _[[compact space]]_, _[[closed subspace]]_ and also with _[[Heine-Borel theorem]]_

   added statement-entry closed subspaces of compact Hausdorff spaces are equivalently compact subspaces.

   with proof by pointing to the two directions:

   1. closed subsets of compact spaces are compact

   2. compact subspaces of Hausdorff spaces are closed

   Cross-linked with compact space, closed subspace and also with Heine-Borel theorem