Question

Cardinality of atomless sigma-algebras

score 123 · Answer 1 · 2026-04-11 22:00:53

123

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Cardinality of atomless sigma-algebras

Published on 11 Apr 2026 - 22:00

score 58 · Answer 2 · 2026-04-12 19:12:47

58

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Precison on atomless $\sigma$-algebras and their cardinality

Published on 12 Apr 2026 - 19:12

score 87 · Answer 3 · 2026-03-28 01:13:28

87

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Regular Cardinal of a Power set and its Chains

Published on 28 Mar 2026 - 1:13

score 44 · Answer 4 · 2021-01-20 00:57:14

44

Views

Notation used in the proof of $^C(^B A) \approx \ ^{C \times B}A$: $\ \ \ \Phi (f)(c,b)$ and $\big(f(c)\big)(b)$

Published on 20 Jan 2021 - 0:57

score 629 · Answer 5 · 2026-04-12 14:09:45

629

Views

Does ZF prove that there are more cardinals than elements of any set?

Published on 12 Apr 2026 - 14:09

score 33 · Answer 6 · 2026-04-11 17:20:35

33

Views

How to explain cardinals equation $\alpha\aleph_0=\alpha$ where $\alpha$ is the cardinals of an infinite set?

Published on 11 Apr 2026 - 17:20

score 201 · Answer 7 · 2026-04-11 06:14:48

201

Views

Does bijectivity imply the same order type?

Published on 11 Apr 2026 - 6:14

score 177 · Answer 8 · 2026-04-11 18:11:11

177

Views

Cardinality of a quotient set $\mathbb{N}^\mathbb{N}/\sim$

Published on 11 Apr 2026 - 18:11

score 66 · Answer 9 · 2026-04-11 17:51:44

66

Views

Can a vector space with infinite basis be represented as a countable union of proper subspaces?

Published on 11 Apr 2026 - 17:51

score 89 · Answer 10 · 2026-04-11 15:33:26

89

Views

Is $\omega \ncong \omega+1$ but $\omega \xrightarrow[\text{onto}]{1-1} \omega+1$

Published on 11 Apr 2026 - 15:33

score 269 · Answer 11 · 2021-01-24 22:15:24

269

Views

Best bijection between $\mathbb{N}^\mathbb{N}$ and $[0,1] \subset \mathbb{R}$.

Published on 24 Jan 2021 - 22:15

score 54 · Answer 12 · 2026-04-12 16:00:23

54

Views

What is the cardinality of $O(f(x))$?

Published on 12 Apr 2026 - 16:00

score 579 · Answer 13 · 2026-04-12 13:36:57

579

Views

Cardinality does not change when substracting a countable subset from an uncountable set

Published on 12 Apr 2026 - 13:36

score 58 · Answer 14 · 2026-04-06 10:18:49

58

Views

If $A \approx \alpha$, where $\alpha$ is some ordinal, then $A$ is well-orderable

Published on 06 Apr 2026 - 10:18

score 63 · Answer 15 · 2026-03-29 20:04:32

63

Views

In Cohen forcing $\mathrm{Fn}(\kappa\times\omega, 2)$ prove $(\lambda^\vartheta)^{M[G]} = ((\max\{\lambda, \kappa\})^\vartheta)^M$

Published on 29 Mar 2026 - 20:04

List Question

Cardinality of atomless sigma-algebras

Precison on atomless $\sigma$-algebras and their cardinality

Regular Cardinal of a Power set and its Chains

Notation used in the proof of $^C(^B A) \approx \ ^{C \times B}A$: $\ \ \ \Phi (f)(c,b)$ and $\big(f(c)\big)(b)$

Does ZF prove that there are more cardinals than elements of any set?

How to explain cardinals equation $\alpha\aleph_0=\alpha$ where $\alpha$ is the cardinals of an infinite set?

Does bijectivity imply the same order type?

Cardinality of a quotient set $\mathbb{N}^\mathbb{N}/\sim$

Can a vector space with infinite basis be represented as a countable union of proper subspaces?

Is $\omega \ncong \omega+1$ but $\omega \xrightarrow[\text{onto}]{1-1} \omega+1$

Best bijection between $\mathbb{N}^\mathbb{N}$ and $[0,1] \subset \mathbb{R}$.

What is the cardinality of $O(f(x))$?

Cardinality does not change when substracting a countable subset from an uncountable set

If $A \approx \alpha$, where $\alpha$ is some ordinal, then $A$ is well-orderable

In Cohen forcing $\mathrm{Fn}(\kappa\times\omega, 2)$ prove $(\lambda^\vartheta)^{M[G]} = ((\max\{\lambda, \kappa\})^\vartheta)^M$

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