Question

How does the author concludes that $f^{-1} (V)$ is open?

score 46 · Answer 1 · 2026-03-17 13:13:44

46

Views

How does the author concludes that $f^{-1} (V)$ is open?

Published on 17 Mar 2026 - 13:13

score 353 · Answer 2 · 2018-01-20 08:50:02

353

Views

In a topoloical space (X,T),how to know whether the subsets of X are open,closed,or...?

Published on 20 Jan 2018 - 8:50

score 147 · Answer 3 · 2018-01-20 09:13:22

147

Views

Proving the set $S=\left\{ \left(x,y\right);ax+by<c\right\} $ is open

Published on 20 Jan 2018 - 9:13

score 851 · Answer 4 · 2018-01-20 11:00:27

851

Views

Set S=$\left\{ \left(x,y\right);x^{2}+y^{2}\leq1,x<1\right\} $ is open or closed?

Published on 20 Jan 2018 - 11:00

score 43 · Answer 5 · 2026-03-25 07:39:00

43

Views

Showing a continuous function is smooth

Published on 25 Mar 2026 - 7:39

score 2.2k · Answer 6 · 2026-03-25 20:25:32

2.2k

Views

Prove that the set of invertible elements in a Banach algebra is open

Published on 25 Mar 2026 - 20:25

score 411 · Answer 7 · 2018-01-20 15:41:29

411

Views

prove that the following collection of subsets of $\Bbb R$ is topology

Published on 20 Jan 2018 - 15:41

score 281 · Answer 8 · 2026-03-25 10:50:55

281

Views

Space of holomorphic functions with compact-open topology is second-countable

Published on 25 Mar 2026 - 10:50

score 136 · Answer 9 · 2026-03-17 13:05:26

136

Views

Locally Compact Hausdorff Topologial Group but not Sequential?

Published on 17 Mar 2026 - 13:05

score 2.4k · Answer 10 · 2018-01-20 22:09:58

2.4k

Views

homeomorphism between Ring (Annulus) and Cylinder

Published on 20 Jan 2018 - 22:09

score 146 · Answer 11 · 2018-01-21 01:21:18

146

Views

Circles in the Euclidean Topology with a Rectangular Base

Published on 21 Jan 2018 - 1:21

score 7.8k · Answer 12 · 2026-03-26 12:40:27

7.8k

Views

Why is a discrete topology called a discrete topology?

Published on 26 Mar 2026 - 12:40

score 986 · Answer 13 · 2026-03-22 21:40:10

986

Views

Prove that $\prod X_\alpha$ is first (second)-countable if and only if $X_\alpha$ is first (second)-countable, $\forall \alpha\in I.$

Published on 22 Mar 2026 - 21:40

score 156 · Answer 14 · 2018-01-21 07:58:15

156

Views

Product topology and $T_0,T_1,T_2$ topology spaces

Published on 21 Jan 2018 - 7:58

score 157 · Answer 15 · 2018-01-21 11:07:11

In a Hausdorff space, for any open set $U$, can we find another open set $V$ such that $\overline{V} \subseteq U$?

List Question

How does the author concludes that $f^{-1} (V)$ is open?

In a topoloical space (X,T),how to know whether the subsets of X are open,closed,or...?

Proving the set $S=\left\{ \left(x,y\right);ax+by<c\right\} $ is open

Set S=$\left\{ \left(x,y\right);x^{2}+y^{2}\leq1,x<1\right\} $ is open or closed?

Showing a continuous function is smooth

Prove that the set of invertible elements in a Banach algebra is open

prove that the following collection of subsets of $\Bbb R$ is topology

Space of holomorphic functions with compact-open topology is second-countable

Locally Compact Hausdorff Topologial Group but not Sequential?

homeomorphism between Ring (Annulus) and Cylinder

Circles in the Euclidean Topology with a Rectangular Base

Why is a discrete topology called a discrete topology?

Prove that $\prod X_\alpha$ is first (second)-countable if and only if $X_\alpha$ is first (second)-countable, $\forall \alpha\in I.$

Product topology and $T_0,T_1,T_2$ topology spaces

In a Hausdorff space, for any open set $U$, can we find another open set $V$ such that $\overline{V} \subseteq U$?

Trending Questions

Popular # Hahtags

Popular Questions