![general topology - Proving that a compact subset of a Hausdorff space is closed - Mathematics Stack Exchange general topology - Proving that a compact subset of a Hausdorff space is closed - Mathematics Stack Exchange](https://i.stack.imgur.com/CD29i.png)
general topology - Proving that a compact subset of a Hausdorff space is closed - Mathematics Stack Exchange
![Gabriel Peyré on X: "The space of compact sets in a metric space is a compact set for the Hausdorff metric. Hausdorff convergence is weak and does not preserve topology, dimension, length Gabriel Peyré on X: "The space of compact sets in a metric space is a compact set for the Hausdorff metric. Hausdorff convergence is weak and does not preserve topology, dimension, length](https://pbs.twimg.com/media/Dz6FtSMX4AASGnJ.jpg:large)
Gabriel Peyré on X: "The space of compact sets in a metric space is a compact set for the Hausdorff metric. Hausdorff convergence is weak and does not preserve topology, dimension, length
![The proof is quite similar to that of a previous result: a compact subspace of a Hausdorff is closed. Theorem: If topological X space is compact and. - ppt download The proof is quite similar to that of a previous result: a compact subspace of a Hausdorff is closed. Theorem: If topological X space is compact and. - ppt download](https://slideplayer.com/3006966/11/images/slide_1.jpg)
The proof is quite similar to that of a previous result: a compact subspace of a Hausdorff is closed. Theorem: If topological X space is compact and. - ppt download
![real analysis - Can every continuous function be extended from a locally compact Hausdorff space to the one-point compactification? - Mathematics Stack Exchange real analysis - Can every continuous function be extended from a locally compact Hausdorff space to the one-point compactification? - Mathematics Stack Exchange](https://i.stack.imgur.com/aSr08.png)
real analysis - Can every continuous function be extended from a locally compact Hausdorff space to the one-point compactification? - Mathematics Stack Exchange
![The proof is quite similar to that of a previous result: a compact subspace of a Hausdorff is closed. Theorem: If topological X space is compact and. - ppt download The proof is quite similar to that of a previous result: a compact subspace of a Hausdorff is closed. Theorem: If topological X space is compact and. - ppt download](https://images.slideplayer.com/11/3006966/slides/slide_5.jpg)
The proof is quite similar to that of a previous result: a compact subspace of a Hausdorff is closed. Theorem: If topological X space is compact and. - ppt download
![SOLVED: Problem 5.a Let C be a closed subspace of a compact Hausdorff space. Show that E/C is homeomorphic to the one-point compactification of E-C. (b) If A and B are spaces SOLVED: Problem 5.a Let C be a closed subspace of a compact Hausdorff space. Show that E/C is homeomorphic to the one-point compactification of E-C. (b) If A and B are spaces](https://cdn.numerade.com/ask_images/fc5beae5bb1048838c9a79837b7f5569.jpg)