Question

Compare the cardinalities of $2^{(2^\mathbb N)}$ and $(2^\mathbb N)^{\mathbb N}$

score 163 · Answer 1 · 2013-08-29 03:18:46

163

Views

Compare the cardinalities of $2^{(2^\mathbb N)}$ and $(2^\mathbb N)^{\mathbb N}$

Published on 29 Aug 2013 - 3:18

score 123 · Answer 2 · 2013-08-31 05:57:15

123

Views

Proving that a particular subset of $\mathbb{R}$ is countable.

Published on 31 Aug 2013 - 5:57

score 133 · Answer 3 · 2013-09-05 17:47:58

133

Views

How many distinct holomorphic function from $\mathbb{C}$ to $\mathbb{C}$ is there?

Published on 05 Sep 2013 - 17:47

score 74 · Answer 4 · 2013-09-07 01:47:05

74

Views

A question on a closed and discrete subset

Published on 07 Sep 2013 - 1:47

score 176 · Answer 5 · 2013-09-09 00:21:00

176

Views

What is the first cardinal which has countable cofinal and greater than $\aleph_1$?

Published on 09 Sep 2013 - 0:21

score 171 · Answer 6 · 2013-09-09 00:54:11

171

Views

Can the continuum $\mathfrak c$ be a limit cardinal?

Published on 09 Sep 2013 - 0:54

score 945 · Answer 7 · 2013-09-09 07:17:21

945

Views

Uniform normal filter on $\kappa$ is $\kappa$-complete and contains the club filter.

Published on 09 Sep 2013 - 7:17

score 198 · Answer 8 · 2013-09-09 20:23:53

198

Views

Cardinality and bijections

Published on 09 Sep 2013 - 20:23

score 872 · Answer 9 · 2013-09-11 09:57:43

872

Views

Infinite sets and their Cardinality

Published on 11 Sep 2013 - 9:57

score 44 · Answer 10 · 2013-09-11 18:40:12

44

Views

Name for the sense of how many items are present

Published on 11 Sep 2013 - 18:40

score 270 · Answer 11 · 2013-09-12 07:05:00

270

Views

Calculating cardinal numbers of subsets in $\mathbb R\times\mathbb R$

Published on 12 Sep 2013 - 7:05

score 62 · Answer 12 · 2013-09-12 11:17:17

62

Views

Cardinality of given set

Published on 12 Sep 2013 - 11:17

score 464 · Answer 13 · 2013-09-13 00:56:46

If $(X,<)$ is an uncountable well-ordered set whose sections are countable, $f:X\to X,f(x)<x$, then $\exists x,f^{-1}(x)$ uncountable.

score 3.9k · Answer 14 · 2026-03-28 10:27:19

3.9k

Views

Prove that transcendental numbers exist: Are there less paniful ways of doing it?

Published on 28 Mar 2026 - 10:27

score 9.8k · Answer 15 · 2013-09-16 03:25:56

9.8k

Views

Proof for the relationship between Cardinality of Natural numbers and Cardinality of Real Numbers

Published on 16 Sep 2013 - 3:25

List Question

Compare the cardinalities of $2^{(2^\mathbb N)}$ and $(2^\mathbb N)^{\mathbb N}$

Proving that a particular subset of $\mathbb{R}$ is countable.

How many distinct holomorphic function from $\mathbb{C}$ to $\mathbb{C}$ is there?

A question on a closed and discrete subset

What is the first cardinal which has countable cofinal and greater than $\aleph_1$?

Can the continuum $\mathfrak c$ be a limit cardinal?

Uniform normal filter on $\kappa$ is $\kappa$-complete and contains the club filter.

Cardinality and bijections

Infinite sets and their Cardinality

Name for the sense of how many items are present

Calculating cardinal numbers of subsets in $\mathbb R\times\mathbb R$

Cardinality of given set

If $(X,<)$ is an uncountable well-ordered set whose sections are countable, $f:X\to X,f(x)<x$, then $\exists x,f^{-1}(x)$ uncountable.

Prove that transcendental numbers exist: Are there less paniful ways of doing it?

Proof for the relationship between Cardinality of Natural numbers and Cardinality of Real Numbers

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