Question

$\left\{0\right\}\times (0,1) \not \in \mathbb R^2$

score 59 · Answer 1 · 2022-02-10 03:02:13

59

Views

$\left\{0\right\}\times (0,1) \not \in \mathbb R^2$

Published on 10 Feb 2022 - 3:02

score 714 · Answer 2 · 2022-02-11 16:48:01

714

Views

The infinite product of connected spaces is connected in the product topology.

Published on 11 Feb 2022 - 16:48

score 119 · Answer 3 · 2026-03-26 09:41:08

119

Views

Are these spaces zero-dimensional? What are some characterizations of zero-dimensional spaces?

Published on 26 Mar 2026 - 9:41

score 91 · Answer 4 · 2022-02-14 17:29:04

91

Views

Prove that X is a Hausdorff space if and only if the diagonal is a closed set in its product topology

Published on 14 Feb 2022 - 17:29

score 376 · Answer 5 · 2022-02-15 15:27:37

376

Views

Can a Torus be a submanifold of a Sphere?

Published on 15 Feb 2022 - 15:27

score 142 · Answer 6 · 2026-03-28 01:13:41

142

Views

Constructing the topological product space from categorical universal property

Published on 28 Mar 2026 - 1:13

score 128 · Answer 7 · 2022-02-18 12:31:33

128

Views

Are Borel measurable functions closed in pointwise topology?

Published on 18 Feb 2022 - 12:31

score 69 · Answer 8 · 2022-02-22 20:07:36

69

Views

The subspace topology on $Y$ will be if $\mathbb{R}^2$ has the product topology $\mathbb{R}_u \times \mathbb{R}_u$

Published on 22 Feb 2022 - 20:07

score 46 · Answer 9 · 2022-02-26 13:41:26

46

Views

Criterion for continuity of a function on the Cartesian product

Published on 26 Feb 2022 - 13:41

score 63 · Answer 10 · 2022-03-06 00:22:31

63

Views

Is every function from $R^\omega$ to $R^\omega$ with uniform topology continuous?

Published on 06 Mar 2022 - 0:22

score 230 · Answer 11 · 2022-03-06 15:30:34

230

Views

An uncountable product of $\mathbb{R}$ with itself is not metrizable (product topology).

Published on 06 Mar 2022 - 15:30

score 111 · Answer 12 · 2022-03-06 23:45:05

111

Views

Continuity of a function from $R^\omega \to R^\omega$ for uniform, product and box topology.

Published on 06 Mar 2022 - 23:45

score 101 · Answer 13 · 2022-03-11 11:24:19

101

Views

Vector space translation continuous implies addition continuous?

Published on 11 Mar 2022 - 11:24

score 56 · Answer 14 · 2022-03-16 21:15:50

56

Views

Doubt in homeomorphism of product spaces

Published on 16 Mar 2022 - 21:15

score 93 · Answer 15 · 2026-03-26 12:37:59

93

Views

differentials of smoothly varying family of maps

Published on 26 Mar 2026 - 12:37

List Question

$\left\{0\right\}\times (0,1) \not \in \mathbb R^2$

The infinite product of connected spaces is connected in the product topology.

Are these spaces zero-dimensional? What are some characterizations of zero-dimensional spaces?

Prove that X is a Hausdorff space if and only if the diagonal is a closed set in its product topology

Can a Torus be a submanifold of a Sphere?

Constructing the topological product space from categorical universal property

Are Borel measurable functions closed in pointwise topology?

The subspace topology on $Y$ will be if $\mathbb{R}^2$ has the product topology $\mathbb{R}_u \times \mathbb{R}_u$

Criterion for continuity of a function on the Cartesian product

Is every function from $R^\omega$ to $R^\omega$ with uniform topology continuous?

An uncountable product of $\mathbb{R}$ with itself is not metrizable (product topology).

Continuity of a function from $R^\omega \to R^\omega$ for uniform, product and box topology.

Vector space translation continuous implies addition continuous?

Doubt in homeomorphism of product spaces

differentials of smoothly varying family of maps

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