Question

If $(X,\tau)^n$ is Hausdorff, is $(X,\tau)$ also Hausdorff?

score 198 · Answer 1 · 2026-03-25 14:36:48

198

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If $(X,\tau)^n$ is Hausdorff, is $(X,\tau)$ also Hausdorff?

Published on 25 Mar 2026 - 14:36

score 2.3k · Answer 2 · 2014-08-24 14:24:04

2.3k

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The topology a line inherits as a subspace of $\mathbb{R}_l \times \mathbb{R}$, or of $\mathbb{R}_l \times \mathbb{R}_l$ (Munkres)

Published on 24 Aug 2014 - 14:24

score 258 · Answer 3 · 2026-03-22 18:56:56

258

Views

Question about pointwise convergence of sequences in the box and product topologies.

Published on 22 Mar 2026 - 18:56

score 1.1k · Answer 4 · 2014-10-04 17:14:28

1.1k

Views

Infinite product of probability measures is a premeasure

Published on 04 Oct 2014 - 17:14

score 366 · Answer 5 · 2026-03-25 12:48:43

366

Views

A net in a product space and its cluster point

Published on 25 Mar 2026 - 12:48

score 735 · Answer 6 · 2014-10-08 22:01:34

735

Views

Euclidean topology on $\mathbb{R}^{m+n}$ is equivalent to the product topology on $\mathbb{R}^m \times \mathbb{R}^n$

Published on 08 Oct 2014 - 22:01

score 116 · Answer 7 · 2014-11-08 23:04:28

116

Views

Product measures in measure theory

Published on 08 Nov 2014 - 23:04

score 816 · Answer 8 · 2014-11-09 03:00:40

816

Views

Product measures and $\sigma-$ finite measures

Published on 09 Nov 2014 - 3:00

score 206 · Answer 9 · 2014-11-27 20:26:50

206

Views

Are $[0,1)\times [0,1)$ and $[0,1]\times [0,1)$ homeomorphic?

Published on 27 Nov 2014 - 20:26

score 150 · Answer 10 · 2014-11-29 18:25:53

150

Views

Show that iterated integral of indicator function over product space defines a countably additive (product) measure.

Published on 29 Nov 2014 - 18:25

score 125 · Answer 11 · 2014-12-06 12:02:31

125

Views

homeomorphism between $2^{\mathbb{N}}$ and the Cantor Middle third set

Published on 06 Dec 2014 - 12:02

score 202 · Answer 12 · 2014-12-24 19:29:38

202

Views

$[0,\omega_1]\times [0,\omega_1)$ is not $T_4$.

Published on 24 Dec 2014 - 19:29

score 137 · Answer 13 · 2019-10-05 16:40:04

137

Views

Expectation as product measure

Published on 05 Oct 2019 - 16:40

score 172 · Answer 14 · 2026-03-24 02:29:29

172

Views

Absolute continuity with respect to the product measure

Published on 24 Mar 2026 - 2:29

score 340 · Answer 15 · 2026-03-22 12:12:22

340

Views

Box topology and a non-continuous function

Published on 22 Mar 2026 - 12:12

List Question

If $(X,\tau)^n$ is Hausdorff, is $(X,\tau)$ also Hausdorff?

The topology a line inherits as a subspace of $\mathbb{R}_l \times \mathbb{R}$, or of $\mathbb{R}_l \times \mathbb{R}_l$ (Munkres)

Question about pointwise convergence of sequences in the box and product topologies.

Infinite product of probability measures is a premeasure

A net in a product space and its cluster point

Euclidean topology on $\mathbb{R}^{m+n}$ is equivalent to the product topology on $\mathbb{R}^m \times \mathbb{R}^n$

Product measures in measure theory

Product measures and $\sigma-$ finite measures

Are $[0,1)\times [0,1)$ and $[0,1]\times [0,1)$ homeomorphic?

Show that iterated integral of indicator function over product space defines a countably additive (product) measure.

homeomorphism between $2^{\mathbb{N}}$ and the Cantor Middle third set

$[0,\omega_1]\times [0,\omega_1)$ is not $T_4$.

Expectation as product measure

Absolute continuity with respect to the product measure

Box topology and a non-continuous function

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