Question

Connectivity of the set of irrational points in the plane

score 1.1k · Answer 1 · 2026-03-28 05:22:43

1.1k

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Connectivity of the set of irrational points in the plane

Published on 28 Mar 2026 - 5:22

score 1.3k · Answer 2 · 2018-10-02 14:32:26

1.3k

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'flimsy' spaces: removing any $n$ points results in disconnectedness

Published on 02 Oct 2018 - 14:32

score 53 · Answer 3 · 2018-10-02 15:34:00

53

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Two simple questions in topology - help:

Published on 02 Oct 2018 - 15:34

score 1.4k · Answer 4 · 2018-10-03 10:58:32

1.4k

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Prob. 4, Sec. 27, in Munkres' TOPOLOGY, 2nd ed: Any connected metric space having more than one point is uncountable

Published on 03 Oct 2018 - 10:58

score 310 · Answer 5 · 2018-10-03 23:16:33

310

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Confusion about Connected sets and Connected components

Published on 03 Oct 2018 - 23:16

score 72 · Answer 6 · 2018-10-04 11:32:37

72

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choose the correct option about topological space $(\mathbb{Z},T)$?

Published on 04 Oct 2018 - 11:32

score 679 · Answer 7 · 2018-10-04 11:57:45

679

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Showing that $\Bbb R^2\backslash \{(0,0)\}$ is connected

Published on 04 Oct 2018 - 11:57

score 129 · Answer 8 · 2018-10-06 17:30:05

129

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Is there a unnecessary part in this definition of "not connected set" in complex plane?

Published on 06 Oct 2018 - 17:30

score 1k · Answer 9 · 2018-10-08 21:12:56

1k

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Is Dictionary Ordering on $\mathbb{R}^2$ Connected?

Published on 08 Oct 2018 - 21:12

score 33 · Answer 10 · 2018-10-09 02:08:21

33

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Prove that if $G$ is a simple graph on n vertices such that $\delta(G) \geq \lfloor n/2\rfloor$, then $G$ is connected.

Published on 09 Oct 2018 - 2:08

score 91 · Answer 11 · 2026-03-26 06:32:55

91

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Connectedness of the sphere

Published on 26 Mar 2026 - 6:32

score 29 · Answer 12 · 2026-03-28 13:27:18

29

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Every banach manifold is locally arcwise conneted

Published on 28 Mar 2026 - 13:27

score 86 · Answer 13 · 2018-10-13 02:34:33

86

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Prove that if $X_{n}\cap X_{n+1}\neq\emptyset$, $X=\bigcup X_{n}$ is connected

Published on 13 Oct 2018 - 2:34

score 681 · Answer 14 · 2018-10-13 23:29:14

681

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Connectedness of $[0,1) \times [0,1]$.

Published on 13 Oct 2018 - 23:29

score 1.8k · Answer 15 · 2026-03-28 13:21:31

1.8k

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Is the torus with one hole homeomorphic to the torus with two holes?

Published on 28 Mar 2026 - 13:21

List Question

Connectivity of the set of irrational points in the plane

'flimsy' spaces: removing any $n$ points results in disconnectedness

Two simple questions in topology - help:

Prob. 4, Sec. 27, in Munkres' TOPOLOGY, 2nd ed: Any connected metric space having more than one point is uncountable

Confusion about Connected sets and Connected components

choose the correct option about topological space $(\mathbb{Z},T)$?

Showing that $\Bbb R^2\backslash \{(0,0)\}$ is connected

Is there a unnecessary part in this definition of "not connected set" in complex plane?

Is Dictionary Ordering on $\mathbb{R}^2$ Connected?

Prove that if $G$ is a simple graph on n vertices such that $\delta(G) \geq \lfloor n/2\rfloor$, then $G$ is connected.

Connectedness of the sphere

Every banach manifold is locally arcwise conneted

Prove that if $X_{n}\cap X_{n+1}\neq\emptyset$, $X=\bigcup X_{n}$ is connected

Connectedness of $[0,1) \times [0,1]$.

Is the torus with one hole homeomorphic to the torus with two holes?

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