Question

Bounding the cardinality of the Stone-Cech compactification.

score 53 · Answer 1 · 2026-04-14 17:00:13

Bounding the cardinality of the Stone-Cech compactification.

Published on 14 Apr 2026 - 17:00

score 66 · Answer 2 · 2026-04-16 08:03:19

Show that $\aleph_\alpha^{\aleph_\beta} = \aleph_\alpha$ when $\aleph_\beta<\operatorname{cf}(\aleph_\alpha)$ and some additional conditions are true.

score 129 · Answer 3 · 2026-04-15 20:48:57

129

Views

Make a bijection between $\mathcal{P}(A)$ and $\{0,1\}×\{0,1\}×\{0,1\}×...×\{0,1\}$ ($k$ times)

Published on 15 Apr 2026 - 20:48

score 247 · Answer 4 · 2026-04-10 19:06:39

247

Views

Is almost every definable number uncomputable?

Published on 10 Apr 2026 - 19:06

score 61 · Answer 5 · 2026-04-12 04:04:19

61

Views

A Continuous Function between the Reals and the set of the Continuous Functions

Published on 12 Apr 2026 - 4:04

score 54 · Answer 6 · 2026-04-13 17:11:49

54

Views

If there is an onto function $f: A\rightarrow B$ how to prove $\#(B)\leq\#(A)$?

Published on 13 Apr 2026 - 17:11

score 119 · Answer 7 · 2026-04-15 17:19:16

119

Views

cofinality of $\prod_{n \in \omega} \aleph_n$ under everywhere dominance

Published on 15 Apr 2026 - 17:19

score 151 · Answer 8 · 2026-04-14 20:53:35

151

Views

Idempotent law of cardinal arithmetic

Published on 14 Apr 2026 - 20:53

score 178 · Answer 9 · 2026-04-14 03:00:09

178

Views

Name of infinite cardinals which has nonprincipal $\sigma$-complete ultrafilters?

Published on 14 Apr 2026 - 3:00

score 59 · Answer 10 · 2026-04-14 03:47:32

59

Views

Proof that the function $k: (A^B)^C \mapsto A^{B \times C}$ is bijective and well-defined.

Published on 14 Apr 2026 - 3:47

score 315 · Answer 11 · 2026-04-14 13:00:32

315

Views

If we know that there's an injective function from A to B, how can we prove that $|A| \leq |B|$?

Published on 14 Apr 2026 - 13:00

score 33 · Answer 12 · 2026-04-14 16:26:09

33

Views

Decomposing a Boolean algebra into homogeneous parts with respect to a cardinal function

Published on 14 Apr 2026 - 16:26

score 57 · Answer 13 · 2026-04-12 02:55:55

57

Views

Quiestion about cardinality of powet set

Published on 12 Apr 2026 - 2:55

score 51 · Answer 14 · 2026-04-12 01:55:17

51

Views

Axiom schema of Replacement analogue for Von Neumann stage

Published on 12 Apr 2026 - 1:55

score 173 · Answer 15 · 2026-04-16 01:26:26

173

Views

Is $2^ \kappa \leq \kappa ^ {\operatorname{cf}(\kappa)}$ for infinite cardinals $\kappa$?

Published on 16 Apr 2026 - 1:26

List Question

Bounding the cardinality of the Stone-Cech compactification.

Show that $\aleph_\alpha^{\aleph_\beta} = \aleph_\alpha$ when $\aleph_\beta<\operatorname{cf}(\aleph_\alpha)$ and some additional conditions are true.

Make a bijection between $\mathcal{P}(A)$ and $\{0,1\}×\{0,1\}×\{0,1\}×...×\{0,1\}$ ($k$ times)

Is almost every definable number uncomputable?

A Continuous Function between the Reals and the set of the Continuous Functions

If there is an onto function $f: A\rightarrow B$ how to prove $\#(B)\leq\#(A)$?

cofinality of $\prod_{n \in \omega} \aleph_n$ under everywhere dominance

Idempotent law of cardinal arithmetic

Name of infinite cardinals which has nonprincipal $\sigma$-complete ultrafilters?

Proof that the function $k: (A^B)^C \mapsto A^{B \times C}$ is bijective and well-defined.

If we know that there's an injective function from A to B, how can we prove that $|A| \leq |B|$?

Decomposing a Boolean algebra into homogeneous parts with respect to a cardinal function

Quiestion about cardinality of powet set

Axiom schema of Replacement analogue for Von Neumann stage

Is $2^ \kappa \leq \kappa ^ {\operatorname{cf}(\kappa)}$ for infinite cardinals $\kappa$?

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