Question

Is $X=\{(0,0),(1,0)\}\cup \bigcup_{n \neq 1}\{(x, 1/n) \mid x\in \mathbb{R}\}$ connected? Find its conmected components.

score 445 · Answer 1 · 2016-08-12 18:26:55

445

Views

Is $X=\{(0,0),(1,0)\}\cup \bigcup_{n \neq 1}\{(x, 1/n) \mid x\in \mathbb{R}\}$ connected? Find its conmected components.

Published on 12 Aug 2016 - 18:26

score 207 · Answer 2 · 2016-08-17 05:29:00

207

Views

Countable sum of closed totally disconnected spaces

Published on 17 Aug 2016 - 5:29

score 688 · Answer 3 · 2016-08-19 19:30:21

688

Views

Proving $\{z\in \mathbb{C}: |z-z_0|+|z-z_i|<r\}$ is connected

Published on 19 Aug 2016 - 19:30

score 110 · Answer 4 · 2016-08-20 13:39:15

110

Views

Prove of disprove compactness, connectednes and Hausdorff of$J_{a,b,\alpha,\beta}$

Published on 20 Aug 2016 - 13:39

score 421 · Answer 5 · 2016-08-22 16:55:30

421

Views

Let $G$ and $H$ be non empty subsets of $\mathbb{R}$, where $G$ is connected and $G\cup H$ is not connected. Then which is true?

Published on 22 Aug 2016 - 16:55

score 415 · Answer 6 · 2026-03-28 10:41:34

415

Views

Connected components defined by a given curve in the affine plane, in the projective plane and in the complex affine plane

Published on 28 Mar 2026 - 10:41

score 1.2k · Answer 7 · 2016-08-24 12:54:03

1.2k

Views

A Property of Totally Disconnected Space

Published on 24 Aug 2016 - 12:54

score 123 · Answer 8 · 2016-08-27 14:29:24

123

Views

Uncountable Point exclusion topology: Arc connectedness

Published on 27 Aug 2016 - 14:29

score 627 · Answer 9 · 2016-08-31 07:26:12

627

Views

Locally Path Connected Definition

Published on 31 Aug 2016 - 7:26

score 906 · Answer 10 · 2026-03-27 07:13:40

906

Views

Topologist's Sine Curve - proof confusion

Published on 27 Mar 2026 - 7:13

score 313 · Answer 11 · 2016-09-01 09:18:19

313

Views

Sum of connected subsets is connected

Published on 01 Sep 2016 - 9:18

score 200 · Answer 12 · 2016-09-02 18:16:48

200

Views

Consider the smallest topology $\tau $ on $\Bbb C$ in which all the singleton sets are closed.

Published on 02 Sep 2016 - 18:16

score 222 · Answer 13 · 2026-03-27 07:13:19

222

Views

Connected and locally connected but not path connected for sober spaces?

Published on 27 Mar 2026 - 7:13

score 68 · Answer 14 · 2016-09-05 22:10:48

68

Views

Simply Connected Domains, interior epsilon tube

Published on 05 Sep 2016 - 22:10

score 2.1k · Answer 15 · 2026-02-23 04:56:24

2.1k

Views

Interval $[0,1]$ is neither compact nor connected in the Sorgenfrey line.

Published on 23 Feb 2026 - 4:56

List Question

Is $X=\{(0,0),(1,0)\}\cup \bigcup_{n \neq 1}\{(x, 1/n) \mid x\in \mathbb{R}\}$ connected? Find its conmected components.

Countable sum of closed totally disconnected spaces

Proving $\{z\in \mathbb{C}: |z-z_0|+|z-z_i|<r\}$ is connected

Prove of disprove compactness, connectednes and Hausdorff of$J_{a,b,\alpha,\beta}$

Let $G$ and $H$ be non empty subsets of $\mathbb{R}$, where $G$ is connected and $G\cup H$ is not connected. Then which is true?

Connected components defined by a given curve in the affine plane, in the projective plane and in the complex affine plane

A Property of Totally Disconnected Space

Uncountable Point exclusion topology: Arc connectedness

Locally Path Connected Definition

Topologist's Sine Curve - proof confusion

Sum of connected subsets is connected

Consider the smallest topology $\tau $ on $\Bbb C$ in which all the singleton sets are closed.

Connected and locally connected but not path connected for sober spaces?

Simply Connected Domains, interior epsilon tube

Interval $[0,1]$ is neither compact nor connected in the Sorgenfrey line.

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