Question

On minimum cardinality of generating sets of modules

score 234 · Answer 1 · 2026-04-15 18:40:58

234

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On minimum cardinality of generating sets of modules

Published on 15 Apr 2026 - 18:40

score 71 · Answer 2 · 2026-04-12 23:50:15

71

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Characterize the set $E$ such that $E$ and $E^\mathbb{N}$ are equipotent

Published on 12 Apr 2026 - 23:50

score 370 · Answer 3 · 2026-04-15 04:33:53

370

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Strong limit cardinals below the first inaccessible

Published on 15 Apr 2026 - 4:33

score 92 · Answer 4 · 2026-04-14 12:09:45

92

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Boas Primer Exercise 3.13 Puzzler

Published on 14 Apr 2026 - 12:09

score 109 · Answer 5 · 2026-04-13 21:37:32

109

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Cardinality of a space of continuous functions

Published on 13 Apr 2026 - 21:37

score 60 · Answer 6 · 2026-04-15 19:54:17

60

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Assune A,B,C,D are sets such that $|A |= |B |$ and $|C |= |D |$. Show that $|C^A |= |D^B |$

Published on 15 Apr 2026 - 19:54

score 81 · Answer 7 · 2026-04-15 19:17:26

81

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Let $S$ be a set of cardinality $c$. Let $x$ and $y$ be two distinct elements in $S$.

Published on 15 Apr 2026 - 19:17

score 87 · Answer 8 · 2026-05-10 14:48:59

87

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Does there exist a $1$-dimensional Noetherian domain whose set of all prime ideals has cardinality $\aleph_1$ ?

Published on 10 May 2026 - 14:48

score 100 · Answer 9 · 2026-04-14 22:51:09

100

Views

Is $\mbox{im }\mbox{cf}$ the class of all cardinals?

Published on 14 Apr 2026 - 22:51

score 107 · Answer 10 · 2026-04-16 01:14:49

107

Views

Prove if A is a set finite and B is infinite then $|A|+|B|=|B|$

Published on 16 Apr 2026 - 1:14

score 108 · Answer 11 · 2026-04-14 08:59:53

108

Views

Prove that if $1 < \kappa_i \leq \lambda_i$ for all $i \in I$ then $\sum_{i \in I} \kappa_i \leq \prod_{i \in I} \lambda_i$

Published on 14 Apr 2026 - 8:59

score 34 · Answer 12 · 2026-04-12 11:55:47

34

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Is the following allowed?

Published on 12 Apr 2026 - 11:55

score 97 · Answer 13 · 2026-04-14 10:46:47

97

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Proof that $\Bbb{Q}$ ⊆ set of algebraic numbers

Published on 14 Apr 2026 - 10:46

score 203 · Answer 14 · 2026-05-10 15:45:44

203

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How do I quantify over the proper class of all the cardinal numbers?

Published on 10 May 2026 - 15:45

score 583 · Answer 15 · 2026-04-16 04:47:06

583

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For any graph, is there a topological space where it can be drawn/embedded?

Published on 16 Apr 2026 - 4:47

List Question

On minimum cardinality of generating sets of modules

Characterize the set $E$ such that $E$ and $E^\mathbb{N}$ are equipotent

Strong limit cardinals below the first inaccessible

Boas Primer Exercise 3.13 Puzzler

Cardinality of a space of continuous functions

Assune A,B,C,D are sets such that $|A |= |B |$ and $|C |= |D |$. Show that $|C^A |= |D^B |$

Let $S$ be a set of cardinality $c$. Let $x$ and $y$ be two distinct elements in $S$.

Does there exist a $1$-dimensional Noetherian domain whose set of all prime ideals has cardinality $\aleph_1$ ?

Is $\mbox{im }\mbox{cf}$ the class of all cardinals?

Prove if A is a set finite and B is infinite then $|A|+|B|=|B|$

Prove that if $1 < \kappa_i \leq \lambda_i$ for all $i \in I$ then $\sum_{i \in I} \kappa_i \leq \prod_{i \in I} \lambda_i$

Is the following allowed?

Proof that $\Bbb{Q}$ ⊆ set of algebraic numbers

How do I quantify over the proper class of all the cardinal numbers?

For any graph, is there a topological space where it can be drawn/embedded?

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