Question

Is symmetric group on natural numbers countable?

score 7.6k · Answer 1 · 2015-06-11 17:37:10

7.6k

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Is symmetric group on natural numbers countable?

Published on 11 Jun 2015 - 17:37

score 165 · Answer 2 · 2015-06-13 14:39:59

165

Views

Does there exist a path connected metric space , in which at least one open ball is countable ?

Published on 13 Jun 2015 - 14:39

score 2.6k · Answer 3 · 2015-06-14 11:54:45

2.6k

Views

What is the cardinality of the power set $P(A \cup B)$

Published on 14 Jun 2015 - 11:54

score 195 · Answer 4 · 2015-06-14 13:01:20

195

Views

Why is the weight of a topological space a minimum?

Published on 14 Jun 2015 - 13:01

score 2.6k · Answer 5 · 2026-03-29 16:46:38

2.6k

Views

More numbers between $[0,1]$ or $[1,\infty)$?

Published on 29 Mar 2026 - 16:46

score 228 · Answer 6 · 2015-06-16 13:02:18

228

Views

Does there exist a connected metric space, with more than one point and without any isolated point, in which at least one open ball is countable?

Published on 16 Jun 2015 - 13:02

score 392 · Answer 7 · 2026-03-30 10:54:44

392

Views

First Uncountable Ordinal Cofinality: Needs AC?

Published on 30 Mar 2026 - 10:54

score 146 · Answer 8 · 2015-06-17 23:14:59

146

Views

Why is this not a proof of Schroeder-Bernstein?

Published on 17 Jun 2015 - 23:14

score 354 · Answer 9 · 2026-03-25 17:37:42

354

Views

Is this a valid equivalent expression of the twin prime conjecture?

Published on 25 Mar 2026 - 17:37

score 2.2k · Answer 10 · 2026-03-26 19:18:25

2.2k

Views

Are there fewer reals on $(0, 1)$ than on $(1,\infty)$?

Published on 26 Mar 2026 - 19:18

score 608 · Answer 11 · 2015-06-19 18:51:33

608

Views

Orthonormal Basis and Hamel Basis Cardinality

Published on 19 Jun 2015 - 18:51

score 104 · Answer 12 · 2015-06-22 14:56:03

Let $X \subseteq \mathbb R$ and $X$ has same cardinality as $\mathbb R$ , does there always exist a continuous surjection from $\mathbb R$ onto $X$ ?

score 198 · Answer 13 · 2026-03-30 10:55:57

198

Views

Cardinals definable using ordinal arithmetics

Published on 30 Mar 2026 - 10:55

score 99 · Answer 14 · 2015-06-25 16:01:14

99

Views

Linear continuum poset with succ and pred

Published on 25 Jun 2015 - 16:01

score 195 · Answer 15 · 2015-06-26 09:06:22

195

Views

Hilbert space and uncountable cardinal

Published on 26 Jun 2015 - 9:06

List Question

Is symmetric group on natural numbers countable?

Does there exist a path connected metric space , in which at least one open ball is countable ?

What is the cardinality of the power set $P(A \cup B)$

Why is the weight of a topological space a minimum?

More numbers between $[0,1]$ or $[1,\infty)$?

Does there exist a connected metric space, with more than one point and without any isolated point, in which at least one open ball is countable?

First Uncountable Ordinal Cofinality: Needs AC?

Why is this not a proof of Schroeder-Bernstein?

Is this a valid equivalent expression of the twin prime conjecture?

Are there fewer reals on $(0, 1)$ than on $(1,\infty)$?

Orthonormal Basis and Hamel Basis Cardinality

Let $X \subseteq \mathbb R$ and $X$ has same cardinality as $\mathbb R$ , does there always exist a continuous surjection from $\mathbb R$ onto $X$ ?

Cardinals definable using ordinal arithmetics

Linear continuum poset with succ and pred

Hilbert space and uncountable cardinal

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