Question

Prove that the closure of a set is closed

score 3.1k · Answer 1 · 2026-03-25 03:20:18

3.1k

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Prove that the closure of a set is closed

Published on 25 Mar 2026 - 3:20

score 393 · Answer 2 · 2018-07-28 05:19:57

393

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Why is $[0,1]$ an open subset of $[0,1] \cup [2,3]$?

Published on 28 Jul 2018 - 5:19

score 100 · Answer 3 · 2026-03-25 14:33:19

100

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What does this Cantor space in $\left[\frac13,1\right]$ look like?

Published on 25 Mar 2026 - 14:33

score 269 · Answer 4 · 2018-07-28 15:43:19

269

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What do you call this property involving a function between two complete metric spaces?

Published on 28 Jul 2018 - 15:43

score 436 · Answer 5 · 2018-07-29 01:50:41

436

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Is there a metric on the reals $\Bbb R$ so that a subset of $\Bbb R$ is open iff its complement is finite?

Published on 29 Jul 2018 - 1:50

score 134 · Answer 6 · 2026-03-25 14:36:38

134

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Do $f(x)=3x+2^{\nu_2(x)}$ and $g(x)=3x+2^{\nu_2(x)}\cdot3^{\nu_3(x)}$ have compact support in $\Bbb Z_2$?

Published on 25 Mar 2026 - 14:36

score 184 · Answer 7 · 2018-07-29 20:58:21

184

Views

Proof that boundary is closed using $\epsilon$-definition

Published on 29 Jul 2018 - 20:58

score 378 · Answer 8 · 2026-03-25 15:45:25

378

Views

When do we need to show a function is well-defined?

Published on 25 Mar 2026 - 15:45

score 53 · Answer 9 · 2018-07-30 16:23:11

53

Views

Topological equivalence between $\mathbb Q^2$ and $S\subset\mathbb R$

Published on 30 Jul 2018 - 16:23

score 516 · Answer 10 · 2018-07-30 17:01:00

516

Views

Showing the diagonal on $\mathbb{R}^2$ is closed

Published on 30 Jul 2018 - 17:01

score 41 · Answer 11 · 2018-07-31 02:53:27

41

Views

finding a continuous function to show that this set is open or closed

Published on 31 Jul 2018 - 2:53

score 35 · Answer 12 · 2018-07-31 04:07:47

35

Views

Help constructing a continuous function to prove whether a set is open or closed

Published on 31 Jul 2018 - 4:07

score 92 · Answer 13 · 2018-07-31 08:04:03

92

Views

trying to prove this set is open/closed

Published on 31 Jul 2018 - 8:04

score 49 · Answer 14 · 2026-03-25 14:36:48

49

Views

Can $\Bbb Z[\frac16]/{\sim}$ inherit the topology from the 2-adic integers $\Bbb Z_2$?

Published on 25 Mar 2026 - 14:36

score 1.1k · Answer 15 · 2018-07-31 11:07:00

1.1k

Views

Complete metric on set of rational numbers

Published on 31 Jul 2018 - 11:07

List Question

Prove that the closure of a set is closed

Why is $[0,1]$ an open subset of $[0,1] \cup [2,3]$?

What does this Cantor space in $\left[\frac13,1\right]$ look like?

What do you call this property involving a function between two complete metric spaces?

Is there a metric on the reals $\Bbb R$ so that a subset of $\Bbb R$ is open iff its complement is finite?

Do $f(x)=3x+2^{\nu_2(x)}$ and $g(x)=3x+2^{\nu_2(x)}\cdot3^{\nu_3(x)}$ have compact support in $\Bbb Z_2$?

Proof that boundary is closed using $\epsilon$-definition

When do we need to show a function is well-defined?

Topological equivalence between $\mathbb Q^2$ and $S\subset\mathbb R$

Showing the diagonal on $\mathbb{R}^2$ is closed

finding a continuous function to show that this set is open or closed

Help constructing a continuous function to prove whether a set is open or closed

trying to prove this set is open/closed

Can $\Bbb Z[\frac16]/{\sim}$ inherit the topology from the 2-adic integers $\Bbb Z_2$?

Complete metric on set of rational numbers

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