Question

Product maps are open maps

score 2k · Answer 1 · 2026-03-26 18:58:21

2k

Views

Product maps are open maps

Published on 26 Mar 2026 - 18:58

score 486 · Answer 2 · 2017-10-26 02:24:00

486

Views

Continuity of the projection function

Published on 26 Oct 2017 - 2:24

score 141 · Answer 3 · 2017-10-30 17:11:40

141

Views

Are the Projections' Inverses on Product $\sigma$-Algebra Well Defined?

Published on 30 Oct 2017 - 17:11

score 53 · Answer 4 · 2017-10-30 18:44:27

53

Views

Is there such a thing as the inverse of a section of a function? How would that be defined?

Published on 30 Oct 2017 - 18:44

score 43 · Answer 5 · 2017-11-05 13:12:07

43

Views

Product measure over a collection of sets.

Published on 05 Nov 2017 - 13:12

score 678 · Answer 6 · 2017-11-08 19:15:01

678

Views

Is $\Bbb{R}^\omega$ (with uniform topology) locally path connected?

Published on 08 Nov 2017 - 19:15

score 335 · Answer 7 · 2017-11-12 16:24:40

335

Views

Fubini theorem: measurability of simple function on cross sections - self study

Published on 12 Nov 2017 - 16:24

score 2.5k · Answer 8 · 2017-11-21 13:05:08

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 21 Nov 2017 - 13:05

score 191 · Answer 9 · 2017-11-24 15:51:15

191

Views

What is a motivation or geometric intuition of constructing a metric on a product space as an infinite sum?

Published on 24 Nov 2017 - 15:51

score 353 · Answer 10 · 2017-11-26 22:49:06

353

Views

Let $X=[0,1]^{[0,1]}=\prod_{\alpha\in [0,1]}[0,1]$ with the product topology, show that $X$ is not sequentially compact.

Published on 26 Nov 2017 - 22:49

score 141 · Answer 11 · 2017-12-12 03:04:33

141

Views

Basis and subbasis of Tychonoff topology

Published on 12 Dec 2017 - 3:04

score 56 · Answer 12 · 2017-12-19 07:11:13

56

Views

The set of eventually constant elements is dense.

Published on 19 Dec 2017 - 7:11

score 532 · Answer 13 · 2026-02-23 01:06:08

532

Views

Conditions to make box topology and product topology different

Published on 23 Feb 2026 - 1:06

score 108 · Answer 14 · 2017-12-28 00:06:18

108

Views

How do closed sets in $\prod_{n\geq 2}\mathbb{Z}/n\mathbb{Z}$ look like?

Published on 28 Dec 2017 - 0:06

score 391 · Answer 15 · 2017-12-30 13:43:42

391

Views

Why is the cross product topology $\neq$ the tychonoff product topology?

Published on 30 Dec 2017 - 13:43

List Question

Product maps are open maps

Continuity of the projection function

Are the Projections' Inverses on Product $\sigma$-Algebra Well Defined?

Is there such a thing as the inverse of a section of a function? How would that be defined?

Product measure over a collection of sets.

Is $\Bbb{R}^\omega$ (with uniform topology) locally path connected?

Fubini theorem: measurability of simple function on cross sections - self study

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

What is a motivation or geometric intuition of constructing a metric on a product space as an infinite sum?

Let $X=[0,1]^{[0,1]}=\prod_{\alpha\in [0,1]}[0,1]$ with the product topology, show that $X$ is not sequentially compact.

Basis and subbasis of Tychonoff topology

The set of eventually constant elements is dense.

Conditions to make box topology and product topology different

How do closed sets in $\prod_{n\geq 2}\mathbb{Z}/n\mathbb{Z}$ look like?

Why is the cross product topology $\neq$ the tychonoff product topology?

Trending Questions

Popular # Hahtags

Popular Questions