Question

Subspace topology and product topology

score 585 · Answer 1 · 2026-04-14 12:54:26

585

Views

Subspace topology and product topology

Published on 14 Apr 2026 - 12:54

score 70 · Answer 2 · 2026-04-11 02:27:01

70

Views

What is the mathematical word to describe when two objects can be transformed to each other like Klein bottle and torus?

Published on 11 Apr 2026 - 2:27

score 78 · Answer 3 · 2026-04-16 22:21:14

78

Views

In usual Euclidean metric on $\mathbb{R}^n$. Which of the following metric spaces X is complete

Published on 16 Apr 2026 - 22:21

score 87 · Answer 4 · 2026-04-12 14:24:11

87

Views

Is it possible to represent an open and connected set in $(\mathbb{R}^n,||\cdot||)$ as the finite union of convex sets?

Published on 12 Apr 2026 - 14:24

score 51 · Answer 5 · 2026-04-12 06:26:31

51

Views

Counterexamples about function discontinuity.

Published on 12 Apr 2026 - 6:26

score 68 · Answer 6 · 2026-04-13 17:48:56

68

Views

Measurability of $\mathbb{R}^X$ in a compactification

Published on 13 Apr 2026 - 17:48

score 115 · Answer 7 · 2026-04-14 17:06:10

115

Views

If $int\overline{X} = int\overline{Y} = \emptyset$ then $int(\overline{X\cup Y}) = \emptyset$.

Published on 14 Apr 2026 - 17:06

score 156 · Answer 8 · 2026-04-13 23:04:13

156

Views

A diifficulty in understanding a sentence in a paragraph in Guillemin and Pollack p.77

Published on 13 Apr 2026 - 23:04

score 87 · Answer 9 · 2026-05-03 14:20:42

87

Views

A cover of Locally connected space with certain compactness property

Published on 03 May 2026 - 14:20

score 35 · Answer 10 · 2026-04-09 06:19:33

35

Views

union of finite bounded set and uniformly bounded set is bounded

Published on 09 Apr 2026 - 6:19

score 483 · Answer 11 · 2026-04-12 23:42:44

483

Views

Irreducible closed subset

Published on 12 Apr 2026 - 23:42

score 93 · Answer 12 · 2026-04-11 07:00:52

93

Views

What happens when every dense set is open?

Published on 11 Apr 2026 - 7:00

score 1.3k · Answer 13 · 2026-04-13 00:35:51

1.3k

Views

Is the two-point compactification the second-smallest compactification?

Published on 13 Apr 2026 - 0:35

score 353 · Answer 14 · 2026-04-17 12:44:10

353

Views

Why is my proof that $\mathbb R$ is disconnected wrong?

Published on 17 Apr 2026 - 12:44

score 39 · Answer 15 · 2026-04-09 02:44:56

39

Views

Is there a $D$- chain between two point of a connected component in an uniform space?

Published on 09 Apr 2026 - 2:44

List Question

Subspace topology and product topology

What is the mathematical word to describe when two objects can be transformed to each other like Klein bottle and torus?

In usual Euclidean metric on $\mathbb{R}^n$. Which of the following metric spaces X is complete

Is it possible to represent an open and connected set in $(\mathbb{R}^n,||\cdot||)$ as the finite union of convex sets?

Counterexamples about function discontinuity.

Measurability of $\mathbb{R}^X$ in a compactification

If $int\overline{X} = int\overline{Y} = \emptyset$ then $int(\overline{X\cup Y}) = \emptyset$.

A diifficulty in understanding a sentence in a paragraph in Guillemin and Pollack p.77

A cover of Locally connected space with certain compactness property

union of finite bounded set and uniformly bounded set is bounded

Irreducible closed subset

What happens when every dense set is open?

Is the two-point compactification the second-smallest compactification?

Why is my proof that $\mathbb R$ is disconnected wrong?

Is there a $D$- chain between two point of a connected component in an uniform space?

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