Question

Definition of Cofinality Motivation

score 112 · Answer 1 · 2026-04-11 10:23:37

112

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Definition of Cofinality Motivation

Published on 11 Apr 2026 - 10:23

score 62 · Answer 2 · 2021-02-20 03:52:42

62

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Show that the cardinality of $P(\mathbb{N})$ is $2^{\aleph_o}$

Published on 20 Feb 2021 - 3:52

score 53 · Answer 3 · 2021-02-22 04:15:39

53

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Cardinals of $\mathbb{N}$ and $2^\mathbb{N}$ proof

Published on 22 Feb 2021 - 4:15

score 95 · Answer 4 · 2026-04-12 01:55:14

95

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Question about regular cardinals

Published on 12 Apr 2026 - 1:55

score 101 · Answer 5 · 2026-04-13 03:13:55

101

Views

Two sets have the same cardinal proof

Published on 13 Apr 2026 - 3:13

score 26 · Answer 6 · 2026-04-08 16:15:35

26

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Numerical equivalence between Cartesian products

Published on 08 Apr 2026 - 16:15

score 30 · Answer 7 · 2021-02-26 13:39:25

30

Views

Prove that for a subset $A$ of $\mathbb{R}$, if $|A|=\aleph_{0}$ then $|\mathbb{R}-A|=2^{\aleph_0}$.

Published on 26 Feb 2021 - 13:39

score 54 · Answer 8 · 2026-04-12 07:50:49

54

Views

What can be said about the number of topologies on an infinite set?

Published on 12 Apr 2026 - 7:50

score 283 · Answer 9 · 2026-04-10 21:31:38

283

Views

In ZF, if injection from A to B doesn't exist, then does surjection from A to B exist?

Published on 10 Apr 2026 - 21:31

score 72 · Answer 10 · 2026-03-30 07:11:38

For a measurable cardinal $κ$, show that $cf(γ)≠κ$ implies $j_U(γ)=\sup\{j_U(δ):δ<γ\}$ ($U$ $κ$-complete ultrafilter, $j_U$ associated embedding)

score 255 · Answer 11 · 2021-02-28 00:38:06

255

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Let $A$ be finite. Suppose $B$ is countably infinite. Is the set $B^A$ uncountably infinite?

Published on 28 Feb 2021 - 0:38

score 86 · Answer 12 · 2026-04-11 19:51:24

86

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Countable Union of an Infinite Set Equivalence

Published on 11 Apr 2026 - 19:51

score 99 · Answer 13 · 2026-04-12 14:10:36

99

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Doubt on Equality Involving Cardinal Exponentiation

Published on 12 Apr 2026 - 14:10

score 124 · Answer 14 · 2026-04-10 23:14:22

124

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Are cardinal functions topological properties?

Published on 10 Apr 2026 - 23:14

score 77 · Answer 15 · 2026-03-25 17:42:14

77

Views

How can one the cardinality of function space $C(X, Y)$ equipped with uniform topology, where $X$ is a Tychonoff space and $(Y, d)$ a metric space.

Published on 25 Mar 2026 - 17:42

List Question

Definition of Cofinality Motivation

Show that the cardinality of $P(\mathbb{N})$ is $2^{\aleph_o}$

Cardinals of $\mathbb{N}$ and $2^\mathbb{N}$ proof

Question about regular cardinals

Two sets have the same cardinal proof

Numerical equivalence between Cartesian products

Prove that for a subset $A$ of $\mathbb{R}$, if $|A|=\aleph_{0}$ then $|\mathbb{R}-A|=2^{\aleph_0}$.

What can be said about the number of topologies on an infinite set?

In ZF, if injection from A to B doesn't exist, then does surjection from A to B exist?

For a measurable cardinal $κ$, show that $cf(γ)≠κ$ implies $j_U(γ)=\sup\{j_U(δ):δ<γ\}$ ($U$ $κ$-complete ultrafilter, $j_U$ associated embedding)

Let $A$ be finite. Suppose $B$ is countably infinite. Is the set $B^A$ uncountably infinite?

Countable Union of an Infinite Set Equivalence

Doubt on Equality Involving Cardinal Exponentiation

Are cardinal functions topological properties?

How can one the cardinality of function space $C(X, Y)$ equipped with uniform topology, where $X$ is a Tychonoff space and $(Y, d)$ a metric space.

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