List questions from separation-axioms

Published on 16 Sep 2022 - 17:16

41

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Is the Mysior Space paracompact?

Published on 23 Feb 2026 - 10:00

33

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Equivalence relations on a regular space

Published on 27 Sep 2022 - 20:14

132

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In metric spaces, are two elements equal if and only if they're indistinguishable?

Published on 03 Oct 2022 - 21:47

46

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Is a relation $R$ on a set $X$ a set?

Published on 13 Oct 2022 - 13:43

87

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A quotient space of an interval

Published on 24 Oct 2022 - 16:53

53

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For each Hausdorff space, a completely regular quotient space. Problem from Dugundji's Topology [mistake on the problem].

Published on 30 Oct 2022 - 23:33

119

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Example of a not regular topological space:Prove

Published on 31 Oct 2022 - 9:19

66

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Projective Limits of Compact Groups: Exact or Not?

Published on 29 Mar 2026 - 17:31

29

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Separated sets Theorem

Published on 10 Nov 2022 - 0:52

129

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How is $T_D$ a separation axiom

Published on 14 Nov 2022 - 11:00

68

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quotient space of similar matrices is not Hausdorff?

Published on 26 Mar 2026 - 12:53

95

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If Any continuous map from $A$ into $\mathbf{R}$ may be extended to a continuous map of all of $X$ into $\mathbf{R}$. Then $A$ is closed subset.

Published on 17 Nov 2022 - 12:12

38

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A problem about paracompact Hausdorff space and its closed subset.

Published on 23 Feb 2026 - 10:01

114

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Why is a perfectly normal space completely normal?

Published on 19 Nov 2022 - 15:51

List Question

How do we “directly” show that the cofinite space $\Bbb N$ is not weak-Hausdorff?

Is the Mysior Space paracompact?

Equivalence relations on a regular space

In metric spaces, are two elements equal if and only if they're indistinguishable?

Is a relation $R$ on a set $X$ a set?

A quotient space of an interval

For each Hausdorff space, a completely regular quotient space. Problem from Dugundji's Topology [mistake on the problem].

Example of a not regular topological space:Prove

Projective Limits of Compact Groups: Exact or Not?

Separated sets Theorem

How is $T_D$ a separation axiom

quotient space of similar matrices is not Hausdorff?

If Any continuous map from $A$ into $\mathbf{R}$ may be extended to a continuous map of all of $X$ into $\mathbf{R}$. Then $A$ is closed subset.

A problem about paracompact Hausdorff space and its closed subset.

Why is a perfectly normal space completely normal?

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