Question

$\mu^\lambda = 2^\lambda$ for infinite $\mu$ and $\lambda$

score 32 · Answer 1 · 2024-01-09 04:59:28

32

Views

$\mu^\lambda = 2^\lambda$ for infinite $\mu$ and $\lambda$

Published on 09 Jan 2024 - 4:59

score 104 · Answer 2 · 2026-03-29 04:11:07

104

Views

Paradox: Creating an uncountable set of natural numbers

Published on 29 Mar 2026 - 4:11

score 44 · Answer 3 · 2024-01-10 15:33:28

44

Views

How many homomorphisms are there from the graph Cycle 5 to the Peterson Graph?

Published on 10 Jan 2024 - 15:33

score 87 · Answer 4 · 2024-01-11 12:03:40

87

Views

How the comparison of the cardinalities of sets affects the cardinalities of their powersets

Published on 11 Jan 2024 - 12:03

score 59 · Answer 5 · 2026-03-29 19:09:16

59

Views

Why do we define cardinality only for well-orderable sets?

Published on 29 Mar 2026 - 19:09

score 28 · Answer 6 · 2026-03-29 20:56:04

28

Views

Being unbounded in a limit ordinal implies order type is also a limit?

Published on 29 Mar 2026 - 20:56

score 59 · Answer 7 · 2026-03-29 20:56:04

59

Views

Proof of the Reflection Theorem in Kunen?

Published on 29 Mar 2026 - 20:56

score 25 · Answer 8 · 2024-01-17 06:28:00

25

Views

Ordering and dividing orders of infinity.

Published on 17 Jan 2024 - 6:28

score 56 · Answer 9 · 2026-03-29 20:56:38

56

Views

Why does regularity of an ordinal $\gamma$ imply the existence of a sequence $(\delta_n)$ such that $\delta_n<\gamma$ for all $n$?

Published on 29 Mar 2026 - 20:56

score 165 · Answer 10 · 2026-03-29 20:54:59

165

Views

What ways are there to define $\aleph$?

Published on 29 Mar 2026 - 20:54

score 59 · Answer 11 · 2026-03-26 11:16:51

59

Views

Does a separable, $US$, sequential space have cardinality at most the continuum?

Published on 26 Mar 2026 - 11:16

score 79 · Answer 12 · 2024-01-27 18:09:47

79

Views

Does a cardinal with uncountable cofinality imply that the cardinal is regular?

Published on 27 Jan 2024 - 18:09

score 52 · Answer 13 · 2024-01-27 20:17:06

52

Views

How does $2^{\aleph_2} \leqslant \aleph_{\omega}$ imply $\aleph_{\omega}^{\aleph_2} = \aleph_{\omega}^{\aleph_0}$?

Published on 27 Jan 2024 - 20:17

score 110 · Answer 14 · 2024-01-30 17:39:52

110

Views

Shouldn't ℵ₀ be the cardinality of the reals?

Published on 30 Jan 2024 - 17:39

score 86 · Answer 15 · 2024-01-31 18:11:25

86

Views

Basis for a $\sigma$-algebra of cardinality $\beth_1$.

Published on 31 Jan 2024 - 18:11

List Question

$\mu^\lambda = 2^\lambda$ for infinite $\mu$ and $\lambda$

Paradox: Creating an uncountable set of natural numbers

How many homomorphisms are there from the graph Cycle 5 to the Peterson Graph?

How the comparison of the cardinalities of sets affects the cardinalities of their powersets

Why do we define cardinality only for well-orderable sets?

Being unbounded in a limit ordinal implies order type is also a limit?

Proof of the Reflection Theorem in Kunen?

Ordering and dividing orders of infinity.

Why does regularity of an ordinal $\gamma$ imply the existence of a sequence $(\delta_n)$ such that $\delta_n<\gamma$ for all $n$?

What ways are there to define $\aleph$?

Does a separable, $US$, sequential space have cardinality at most the continuum?

Does a cardinal with uncountable cofinality imply that the cardinal is regular?

How does $2^{\aleph_2} \leqslant \aleph_{\omega}$ imply $\aleph_{\omega}^{\aleph_2} = \aleph_{\omega}^{\aleph_0}$?

Shouldn't ℵ₀ be the cardinality of the reals?

Basis for a $\sigma$-algebra of cardinality $\beth_1$.

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