Question

let $\tau$ denote the product topology on $X=X_1 \times X_2$. Then $(X,\tau)$ is a first countable.

score 61 · Answer 1 · 2026-04-15 23:49:22

61

Views

let $\tau$ denote the product topology on $X=X_1 \times X_2$. Then $(X,\tau)$ is a first countable.

Published on 15 Apr 2026 - 23:49

score 101 · Answer 2 · 2026-04-11 22:31:24

101

Views

Is collapsing a contractible closed subspace a homotopy equivalence?

Published on 11 Apr 2026 - 22:31

score 93 · Answer 3 · 2026-04-11 16:34:54

93

Views

Connectedness of the sphere

Published on 11 Apr 2026 - 16:34

score 418 · Answer 4 · 2026-04-12 05:08:31

418

Views

Partitions of unity of a compact subset of a smooth manifold

Published on 12 Apr 2026 - 5:08

score 255 · Answer 5 · 2026-04-10 00:01:10

255

Views

Uniformly continuous Extension functions and limit points.

Published on 10 Apr 2026 - 0:01

score 115 · Answer 6 · 2026-04-11 01:08:30

115

Views

Prove the inequality concerning diameter in $\mathbb{R}^2$

Published on 11 Apr 2026 - 1:08

score 764 · Answer 7 · 2026-04-13 08:41:58

764

Views

Showing a subset of $\Bbb R^2$ is compact with the relative topology

Published on 13 Apr 2026 - 8:41

score 188 · Answer 8 · 2026-03-25 23:35:32

188

Views

Does every compactification have an extension property?

Published on 25 Mar 2026 - 23:35

score 120 · Answer 9 · 2026-04-17 12:05:08

120

Views

$\mathbf{Q}$ is a $F_\sigma$ subset of $\mathbf{R}$.

Published on 17 Apr 2026 - 12:05

score 177 · Answer 10 · 2026-04-13 13:22:20

177

Views

Prove that $ \partial A = \overline{A} \cap \overline{(X-A)} $

Published on 13 Apr 2026 - 13:22

score 150 · Answer 11 · 2026-04-16 04:19:45

150

Views

Exhibit a countable collection of open sets $U_j$ such that each open set can be written as a union of some of the sets $U_j$.

Published on 16 Apr 2026 - 4:19

score 64 · Answer 12 · 2026-04-10 18:48:18

64

Views

Continuity of the inverse of a function

Published on 10 Apr 2026 - 18:48

score 1k · Answer 13 · 2026-04-13 19:25:21

1k

Views

Quotient Space and Product

Published on 13 Apr 2026 - 19:25

score 1.5k · Answer 14 · 2026-04-15 23:50:35

1.5k

Views

Revisit "Prove that the inverse image of an open set is open"

Published on 15 Apr 2026 - 23:50

score 2.9k · Answer 15 · 2026-04-11 23:43:23

2.9k

Views

The closure of the irrational numbers on $\mathbb{R}$

Published on 11 Apr 2026 - 23:43

List Question

let $\tau$ denote the product topology on $X=X_1 \times X_2$. Then $(X,\tau)$ is a first countable.

Is collapsing a contractible closed subspace a homotopy equivalence?

Connectedness of the sphere

Partitions of unity of a compact subset of a smooth manifold

Uniformly continuous Extension functions and limit points.

Prove the inequality concerning diameter in $\mathbb{R}^2$

Showing a subset of $\Bbb R^2$ is compact with the relative topology

Does every compactification have an extension property?

$\mathbf{Q}$ is a $F_\sigma$ subset of $\mathbf{R}$.

Prove that $ \partial A = \overline{A} \cap \overline{(X-A)} $

Exhibit a countable collection of open sets $U_j$ such that each open set can be written as a union of some of the sets $U_j$.

Continuity of the inverse of a function

Quotient Space and Product

Revisit "Prove that the inverse image of an open set is open"

The closure of the irrational numbers on $\mathbb{R}$

Trending Questions

Popular # Hahtags

Popular Questions