List questions from separation-axioms

Published on 23 Feb 2026 - 6:20

97

Views

Where does this "proof" that $\Bbb{R}^\omega$ is normal in the box topology go awry?

Published on 23 Feb 2026 - 4:56

69

Views

Every open subspace of $X$ is normal $\implies$ $X$ is completely normal

Published on 10 Apr 2022 - 15:05

137

Views

If every closed $G_\delta$-set in $X$ is a zero-set, is $X$ a normal topological space?

Published on 21 Apr 2022 - 5:48

73

Views

Every perfectly normal space is completely normal.

Published on 22 Apr 2022 - 23:00

153

Views

Prove that this quotient space is normal

Published on 25 Apr 2022 - 17:28

224

Views

Lemma 31.1 and Exercise 2, Section 31 of Munkres’ Topology

Published on 26 Apr 2022 - 16:15

127

Views

Theorem 31.2 of Munkres’ Topology

Published on 29 Apr 2022 - 15:53

89

Views

Locally metrizable, completely regular space that is not normal?

Published on 30 Apr 2022 - 0:58

90

Views

Chapter 7, Theorem 1.2 of James Dugundji Topology

Published on 03 May 2022 - 15:14

85

Views

Exercise 12, Section 30 of Munkres’ Topology

Published on 03 May 2022 - 19:05

151

Views

Theorem 32.1 of Munkres’ Topology

Published on 09 May 2022 - 17:47

176

Views

Is a closed set the closure of an open set?

Published on 10 May 2022 - 11:13

46

Views

$ \mathbb{X}=\left(\left[0,\omega_{1}\right]\times\left[0,\omega\right]\right)\setminus\left\{ \left(\omega_{1},\omega\right)\right\} $ is not T4

Published on 11 May 2022 - 18:59

251

Views

Chapter 11, Theorem 5.2 (2) of James Dugundji Topology

Published on 13 May 2022 - 10:44

List Question

Constructing sequence of nested closed sets in separable $T_{3\frac 1 2}$ space

Where does this "proof" that $\Bbb{R}^\omega$ is normal in the box topology go awry?

Every open subspace of $X$ is normal $\implies$ $X$ is completely normal

If every closed $G_\delta$-set in $X$ is a zero-set, is $X$ a normal topological space?

Every perfectly normal space is completely normal.

Prove that this quotient space is normal

Lemma 31.1 and Exercise 2, Section 31 of Munkres’ Topology

Theorem 31.2 of Munkres’ Topology

Locally metrizable, completely regular space that is not normal?

Chapter 7, Theorem 1.2 of James Dugundji Topology

Exercise 12, Section 30 of Munkres’ Topology

Theorem 32.1 of Munkres’ Topology

Is a closed set the closure of an open set?

$ \mathbb{X}=\left(\left[0,\omega_{1}\right]\times\left[0,\omega\right]\right)\setminus\left\{ \left(\omega_{1},\omega\right)\right\} $ is not T4

Chapter 11, Theorem 5.2 (2) of James Dugundji Topology

Trending Questions

Popular # Hahtags

Popular Questions