List questions from separation-axioms

Published on 25 Mar 2026 - 11:08

53

Views

If $X$ is regular and $f:X \to Y$ is a continuous, surjective, open and closed function, then $Y$ is Hausdorff.

Published on 04 May 2023 - 4:18

36

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If {$x$}' is closed then {$x$}' is the union of disjoint closed sets.

Published on 06 May 2023 - 7:59

43

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Regular Topological Infinite Spaces

Published on 22 May 2023 - 0:26

49

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Locally compact and regular topogical space needs to be Hausdorff?

Published on 30 May 2023 - 15:44

50

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How to construct counterexamples of spaces which satisfy some separation axioms?

Published on 12 Jun 2023 - 10:29

45

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Proof Verification Half Open Intervals are Normal Topological Spaces

Published on 21 Jun 2023 - 18:40

58

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A space is $T_3$ if every point has a closed neighborhood that is $T_3$ in the subspace topology

Published on 30 Jun 2023 - 5:42

121

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$T_D$ spaces and locally closed subsets

Published on 04 Jul 2023 - 8:18

96

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Thomas plank is not realcompact

Published on 23 Feb 2026 - 4:26

103

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Hausdorff does not pass to the quotient

Published on 10 Jul 2023 - 10:11

14

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Continuous Functions on Compact T_2 topological spaces

Published on 02 Mar 2026 - 22:42

25

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Definition of hereditarily collectionwise normal spaces using separated families

Published on 16 Jul 2023 - 9:32

121

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Extremally disconnected without Hausdorff

Published on 25 Jul 2023 - 20:53

59

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Are pseudonormal pseudocompacts all weakly countably compact?

Published on 30 Jul 2023 - 14:29

List Question

Continuity using nets on a dense subspace and regularity

If $X$ is regular and $f:X \to Y$ is a continuous, surjective, open and closed function, then $Y$ is Hausdorff.

If {$x$}' is closed then {$x$}' is the union of disjoint closed sets.

Regular Topological Infinite Spaces

Locally compact and regular topogical space needs to be Hausdorff?

How to construct counterexamples of spaces which satisfy some separation axioms?

Proof Verification Half Open Intervals are Normal Topological Spaces

A space is $T_3$ if every point has a closed neighborhood that is $T_3$ in the subspace topology

$T_D$ spaces and locally closed subsets

Thomas plank is not realcompact

Hausdorff does not pass to the quotient

Continuous Functions on Compact T_2 topological spaces

Definition of hereditarily collectionwise normal spaces using separated families

Extremally disconnected without Hausdorff

Are pseudonormal pseudocompacts all weakly countably compact?

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