Question

What is a finite subcover of $[0,1]^{[0,1]}$?

score 367 · Answer 1 · 2016-05-27 03:28:44

367

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What is a finite subcover of $[0,1]^{[0,1]}$?

Published on 27 May 2016 - 3:28

score 1.7k · Answer 2 · 2016-05-27 17:39:39

1.7k

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Proof of Tychonoff's Theorem for an undergrad

Published on 27 May 2016 - 17:39

score 209 · Answer 3 · 2016-05-30 22:31:49

209

Views

Why is $\beta(\mathbb{N}\times\mathbb{N})\neq\beta(\mathbb{N})\times\beta(\mathbb{N})$?

Published on 30 May 2016 - 22:31

score 85 · Answer 4 · 2016-06-12 18:51:49

85

Views

If $\prod (X_i,T_i)$ is connected, then each $(X_i, T_i)$ is connected.

Published on 12 Jun 2016 - 18:51

score 1.4k · Answer 5 · 2016-06-13 14:11:04

1.4k

Views

Showing that a mapping of a topological space into a product space is continuous.

Published on 13 Jun 2016 - 14:11

score 135 · Answer 6 · 2016-06-14 10:50:51

135

Views

Norms on an Ultraproduct

Published on 14 Jun 2016 - 10:50

score 1.3k · Answer 7 · 2016-06-14 21:34:56

1.3k

Views

Show that $X \times Y$ is homeomorphic to $Y \times X$

Published on 14 Jun 2016 - 21:34

score 92 · Answer 8 · 2016-06-15 19:43:46

92

Views

Product spaces from metric induced topological spaces $(X,T) \times (X,T)$ into $\Bbb R$ is continuous

Published on 15 Jun 2016 - 19:43

score 51 · Answer 9 · 2016-06-17 19:08:47

51

Views

If each $(X_i,T_i)$ is finite and discrete, then the box product is not compact.

Published on 17 Jun 2016 - 19:08

score 428 · Answer 10 · 2016-06-18 14:54:52

428

Views

How can a countably infinite product space be discrete?

Published on 18 Jun 2016 - 14:54

score 112 · Answer 11 · 2016-06-18 18:00:41

112

Views

Open sets in a discrete product space.

Published on 18 Jun 2016 - 18:00

score 1.9k · Answer 12 · 2016-06-19 11:54:28

1.9k

Views

If a product space is locally compact, then each space is locally compact and all but a finite number of factors are compact

Published on 19 Jun 2016 - 11:54

score 151 · Answer 13 · 2016-06-20 01:59:18

151

Views

The topological space $[0,1]$ is a continuous image of the Cantor space question.

Published on 20 Jun 2016 - 1:59

score 38 · Answer 14 · 2016-06-20 13:33:33

38

Views

Question about: Prove that $\phi : \prod_{i=1}^{\infty} (A_i,T_i)$ onto $[0,1]$ is continuous.

Published on 20 Jun 2016 - 13:33

score 31 · Answer 15 · 2016-06-20 19:27:24

31

Views

Mapping of open subsets of product spaces.

Published on 20 Jun 2016 - 19:27

List Question

What is a finite subcover of $[0,1]^{[0,1]}$?

Proof of Tychonoff's Theorem for an undergrad

Why is $\beta(\mathbb{N}\times\mathbb{N})\neq\beta(\mathbb{N})\times\beta(\mathbb{N})$?

If $\prod (X_i,T_i)$ is connected, then each $(X_i, T_i)$ is connected.

Showing that a mapping of a topological space into a product space is continuous.

Norms on an Ultraproduct

Show that $X \times Y$ is homeomorphic to $Y \times X$

Product spaces from metric induced topological spaces $(X,T) \times (X,T)$ into $\Bbb R$ is continuous

If each $(X_i,T_i)$ is finite and discrete, then the box product is not compact.

How can a countably infinite product space be discrete?

Open sets in a discrete product space.

If a product space is locally compact, then each space is locally compact and all but a finite number of factors are compact

The topological space $[0,1]$ is a continuous image of the Cantor space question.

Question about: Prove that $\phi : \prod_{i=1}^{\infty} (A_i,T_i)$ onto $[0,1]$ is continuous.

Mapping of open subsets of product spaces.

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