Question

A question about proving that there is no greatest cardinal

score 171 · Answer 1 · 2016-10-28 13:18:09

171

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A question about proving that there is no greatest cardinal

Published on 28 Oct 2016 - 13:18

score 104 · Answer 2 · 2016-11-02 13:29:38

104

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If there is a bijection between $A$ and $\operatorname{Fin}(A)$, is there a bijection between $A$ and $A\times A$?

Published on 02 Nov 2016 - 13:29

score 49 · Answer 3 · 2016-11-03 01:27:00

49

Views

Filters invariant under bijections

Published on 03 Nov 2016 - 1:27

score 259 · Answer 4 · 2016-11-03 06:13:00

259

Views

Cardinality of $ X\times \mathbb{N} $ when $X$ is infinite

Published on 03 Nov 2016 - 6:13

score 73 · Answer 5 · 2016-11-03 15:07:27

73

Views

Summation over uncountable set while proving that cardinality of functions is bigger than $\Bbb{R}$

Published on 03 Nov 2016 - 15:07

score 327 · Answer 6 · 2016-11-03 17:17:22

327

Views

Property of Rational Numbers

Published on 03 Nov 2016 - 17:17

score 96 · Answer 7 · 2016-11-07 01:03:31

96

Views

Is any set containing R infinite?

Published on 07 Nov 2016 - 1:03

score 928 · Answer 8 · 2016-11-07 23:01:25

928

Views

cardinality of $V_\omega$

Published on 07 Nov 2016 - 23:01

score 76 · Answer 9 · 2016-11-09 13:26:15

76

Views

Cardinality function proof

Published on 09 Nov 2016 - 13:26

score 223 · Answer 10 · 2016-11-11 13:35:53

223

Views

If two sets are countable and infinite show the Cartesian product is countable.

Published on 11 Nov 2016 - 13:35

score 38 · Answer 11 · 2016-11-14 16:50:35

38

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Discrete structures

Published on 14 Nov 2016 - 16:50

score 51 · Answer 12 · 2026-03-28 17:40:23

51

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A few questions about Example $3.15$ from the paper $I^K\text{-}\textit{convergence}$ by Sleziak & Macaj

Published on 28 Mar 2026 - 17:40

score 132 · Answer 13 · 2016-11-16 14:55:58

132

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If $1\le\lambda \le \kappa$ are cardinals, with $\kappa$ infinite and $\lambda<\text{cf}(\kappa)$, then every map $\lambda\to\kappa$ is bounded

Published on 16 Nov 2016 - 14:55

score 266 · Answer 14 · 2016-11-22 05:16:13

266

Views

Number of Polynomials and continuous functions on $\mathbb R$

Published on 22 Nov 2016 - 5:16

score 127 · Answer 15 · 2016-11-23 08:09:53

127

Views

What could be said about the cardinality of $\bigcup_{i\in I} A_i$ if $I$ and all the $A_i$ have cardinality $2^{\aleph_0}$

Published on 23 Nov 2016 - 8:09

List Question

A question about proving that there is no greatest cardinal

If there is a bijection between $A$ and $\operatorname{Fin}(A)$, is there a bijection between $A$ and $A\times A$?

Filters invariant under bijections

Cardinality of $ X\times \mathbb{N} $ when $X$ is infinite

Summation over uncountable set while proving that cardinality of functions is bigger than $\Bbb{R}$

Property of Rational Numbers

Is any set containing R infinite?

cardinality of $V_\omega$

Cardinality function proof

If two sets are countable and infinite show the Cartesian product is countable.

Discrete structures

A few questions about Example $3.15$ from the paper $I^K\text{-}\textit{convergence}$ by Sleziak & Macaj

If $1\le\lambda \le \kappa$ are cardinals, with $\kappa$ infinite and $\lambda<\text{cf}(\kappa)$, then every map $\lambda\to\kappa$ is bounded

Number of Polynomials and continuous functions on $\mathbb R$

What could be said about the cardinality of $\bigcup_{i\in I} A_i$ if $I$ and all the $A_i$ have cardinality $2^{\aleph_0}$

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