Question

cardinality of a set of metrics

score 380 · Answer 1 · 2021-05-14 15:40:15

380

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cardinality of a set of metrics

Published on 14 May 2021 - 15:40

score 97 · Answer 2 · 2026-04-11 11:45:16

97

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Proof that $\aleph_\lambda$ is a cardinal if $\lambda$ is a limit ordinal

Published on 11 Apr 2026 - 11:45

score 38 · Answer 3 · 2021-05-15 12:33:25

38

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$ A \sim B $. Denote $ H(X) = \{ f: X \rightarrow X | f \text{ IS NOT INJECTIVE} \} $. Show $ | H(A) | = | H(B) | $.

Published on 15 May 2021 - 12:33

score 465 · Answer 4 · 2021-05-15 17:09:23

465

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Find the cardinality of a set of convex subsets

Published on 15 May 2021 - 17:09

score 215 · Answer 5 · 2021-05-15 22:14:49

215

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Cardinality of vector space with uncountable basis

Published on 15 May 2021 - 22:14

score 61 · Answer 6 · 2021-05-16 15:49:11

61

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$ \mathbb{N} \sim \{ n \in \mathbb{N} : ~~ 10 \nmid n \} $

Published on 16 May 2021 - 15:49

score 104 · Answer 7 · 2026-04-06 13:27:57

104

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Jech's proof of ${|\omega_\alpha|}^2 = |\omega_\alpha|$

Published on 06 Apr 2026 - 13:27

score 91 · Answer 8 · 2021-05-18 10:18:53

91

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Find the cardinality of the set $\{ X \subset \mathbb{N} : |X| = \aleph_0\}$

Published on 18 May 2021 - 10:18

score 71 · Answer 9 · 2021-05-18 11:31:10

71

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Find a bijection from $\mathbb{R^3}$ to $\mathbb{R}$

Published on 18 May 2021 - 11:31

score 67 · Answer 10 · 2026-04-13 13:32:01

67

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Is there bijection from set of multisets (of same cardinality) to the set of their ordered pairs?

Published on 13 Apr 2026 - 13:32

score 62 · Answer 11 · 2026-04-13 13:35:35

62

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What is the value of $n \aleph_0$ when $n$ is a finite cardinal number?

Published on 13 Apr 2026 - 13:35

score 58 · Answer 12 · 2021-05-24 08:07:29

58

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Bounding the cardinality of finite Index sets by the Lebesgue Measure

Published on 24 May 2021 - 8:07

score 73 · Answer 13 · 2021-05-24 17:18:24

73

Views

Prove that every uncountable closed subset of $\mathbb{R}$ has cardinality $2^{\aleph_0}$

Published on 24 May 2021 - 17:18

score 117 · Answer 14 · 2026-04-13 03:39:30

117

Views

Why does the back and forth method fail to prove that, for each cardinality, any dense linear order without endpoints is unique up to isomorphism?

Published on 13 Apr 2026 - 3:39

score 23 · Answer 15 · 2021-05-25 21:08:41

Show there exist countable set containing an uncountable family $F$ of subsets such that $A,B \in F$ and $A \subset B$ or $B \subset A$

List Question

cardinality of a set of metrics

Proof that $\aleph_\lambda$ is a cardinal if $\lambda$ is a limit ordinal

$ A \sim B $. Denote $ H(X) = \{ f: X \rightarrow X | f \text{ IS NOT INJECTIVE} \} $. Show $ | H(A) | = | H(B) | $.

Find the cardinality of a set of convex subsets

Cardinality of vector space with uncountable basis

$ \mathbb{N} \sim \{ n \in \mathbb{N} : ~~ 10 \nmid n \} $

Jech's proof of ${|\omega_\alpha|}^2 = |\omega_\alpha|$

Find the cardinality of the set $\{ X \subset \mathbb{N} : |X| = \aleph_0\}$

Find a bijection from $\mathbb{R^3}$ to $\mathbb{R}$

Is there bijection from set of multisets (of same cardinality) to the set of their ordered pairs?

What is the value of $n \aleph_0$ when $n$ is a finite cardinal number?

Bounding the cardinality of finite Index sets by the Lebesgue Measure

Prove that every uncountable closed subset of $\mathbb{R}$ has cardinality $2^{\aleph_0}$

Why does the back and forth method fail to prove that, for each cardinality, any dense linear order without endpoints is unique up to isomorphism?

Show there exist countable set containing an uncountable family $F$ of subsets such that $A,B \in F$ and $A \subset B$ or $B \subset A$

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