Question

Alexandroff extension and $T_1$ separation

score 67 · Answer 1 · 2017-09-15 01:36:47

67

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Alexandroff extension and $T_1$ separation

Published on 15 Sep 2017 - 1:36

score 67 · Answer 2 · 2017-09-16 14:57:47

67

Views

Quotient $\mathbb{C}^n/\mathbb{Q}^n$

Published on 16 Sep 2017 - 14:57

score 155 · Answer 3 · 2017-09-16 15:03:43

155

Views

A set very different from itself

Published on 16 Sep 2017 - 15:03

score 416 · Answer 4 · 2026-03-25 22:03:00

416

Views

The image of a normal space under a closed map is normal

Published on 25 Mar 2026 - 22:03

score 511 · Answer 5 · 2017-09-22 12:20:32

511

Views

Urysohn's lemma for regular topological spaces

Published on 22 Sep 2017 - 12:20

score 59 · Answer 6 · 2017-09-27 07:05:31

59

Views

Complete regularity of locally compact Hausdorff spaces with functions vanishing at infinity?

Published on 27 Sep 2017 - 7:05

score 256 · Answer 7 · 2026-03-27 05:39:00

256

Views

If $X=\prod_{i \in I}X_i$ is regular, then $X_i$ is regular for every $i\in I$

Published on 27 Mar 2026 - 5:39

score 151 · Answer 8 · 2017-10-09 01:06:18

151

Views

Are all compactly generated Hausdorff spaces regular?

Published on 09 Oct 2017 - 1:06

score 254 · Answer 9 · 2017-10-09 01:58:37

254

Views

Let $Y=X/ \sim$ be the topology quotient. Determine if $Y$ is a Hausdorff space.

Published on 09 Oct 2017 - 1:58

score 89 · Answer 10 · 2017-10-09 20:54:25

89

Views

Let $K=\{\frac{1}{n}\mid n \ge1, n \in \mathbb{Z}\}$ and let X the real numbers with the K-topology. Let $Y=X/K$ with the quotient topology.

Published on 09 Oct 2017 - 20:54

score 439 · Answer 11 · 2026-03-26 20:44:07

439

Views

Which non-separable topological spaces has an uncountable family of pairwise disjoint open sets?

Published on 26 Mar 2026 - 20:44

score 50 · Answer 12 · 2017-11-07 07:16:39

50

Views

Topology under separation and countability

Published on 07 Nov 2017 - 7:16

score 100 · Answer 13 · 2017-11-18 18:06:37

100

Views

A sufficient condition for complete regularity?

Published on 18 Nov 2017 - 18:06

score 1.6k · Answer 14 · 2017-11-20 00:11:23

1.6k

Views

Show that the Moore plane is not normal

Published on 20 Nov 2017 - 0:11

score 2.5k · Answer 15 · 2026-03-27 07:15:03

2.5k

Views

Prove that every simply ordered set is a Hausdorff space in the order topology. The product of two Hausdorff space is again a Hausdorff space

Published on 27 Mar 2026 - 7:15

List Question

Alexandroff extension and $T_1$ separation

Quotient $\mathbb{C}^n/\mathbb{Q}^n$

A set very different from itself

The image of a normal space under a closed map is normal

Urysohn's lemma for regular topological spaces

Complete regularity of locally compact Hausdorff spaces with functions vanishing at infinity?

If $X=\prod_{i \in I}X_i$ is regular, then $X_i$ is regular for every $i\in I$

Are all compactly generated Hausdorff spaces regular?

Let $Y=X/ \sim$ be the topology quotient. Determine if $Y$ is a Hausdorff space.

Let $K=\{\frac{1}{n}\mid n \ge1, n \in \mathbb{Z}\}$ and let X the real numbers with the K-topology. Let $Y=X/K$ with the quotient topology.

Which non-separable topological spaces has an uncountable family of pairwise disjoint open sets?

Topology under separation and countability

A sufficient condition for complete regularity?

Show that the Moore plane is not normal

Prove that every simply ordered set is a Hausdorff space in the order topology. The product of two Hausdorff space is again a Hausdorff space

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