Question

Which sequences arise as the eventuality filter of a sequence?

score 65 · Answer 1 · 2026-03-20 01:58:33

65

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Which sequences arise as the eventuality filter of a sequence?

Published on 20 Mar 2026 - 1:58

score 195 · Answer 2 · 2026-03-22 04:14:19

195

Views

The proof of Generic Model Theorem (14.5) in Jech's Set Theory p.218

Published on 22 Mar 2026 - 4:14

score 105 · Answer 3 · 2026-03-24 11:02:31

105

Views

Possibility of preserving the ultrafilter on $\mathcal{P}_{\kappa}(\lambda)$ in V[G] after forcing with a <$\kappa$ directed closed poset?

Published on 24 Mar 2026 - 11:02

score 376 · Answer 4 · 2026-03-20 01:48:57

376

Views

Any filter is contained in a ultrafilter - Proof Explanation

Published on 20 Mar 2026 - 1:48

score 93 · Answer 5 · 2026-03-23 10:05:18

93

Views

Can two filters be "separated"?

Published on 23 Mar 2026 - 10:05

score 104 · Answer 6 · 2026-03-22 10:24:07

104

Views

Bijection between filters and ideals

Published on 22 Mar 2026 - 10:24

score 102 · Answer 7 · 2026-03-19 22:22:48

102

Views

Fill gaps in a topology proof

Published on 19 Mar 2026 - 22:22

score 433 · Answer 8 · 2026-03-20 08:40:14

433

Views

If $\mathcal{F}$ is a filter on a set $X$, then there exists an ultrafilter $\mathcal{U}$ such that $\mathcal{F} \subseteq \mathcal{U}$

Published on 20 Mar 2026 - 8:40

score 294 · Answer 9 · 2026-03-19 16:35:48

294

Views

Let $X$ be a finite set. Prove that every ultrafilter is a point filter.

Published on 19 Mar 2026 - 16:35

score 124 · Answer 10 · 2026-03-20 08:21:11

124

Views

Filters and surjectivity of functions

Published on 20 Mar 2026 - 8:21

score 38 · Answer 11 · 2026-03-22 11:26:45

38

Views

Two filters which converge to the same point are equivalent modulo $R$

Published on 22 Mar 2026 - 11:26

score 99 · Answer 12 · 2026-03-25 14:13:54

99

Views

Equivalent filters converge to the same point

Published on 25 Mar 2026 - 14:13

score 40 · Answer 13 · 2026-03-25 14:12:20

40

Views

Filter generates a topology compatible with the vector structure of $X$.

Published on 25 Mar 2026 - 14:12

score 306 · Answer 14 · 2026-03-20 08:46:48

306

Views

Non-principal filter of $\mathcal P(\mathbb N)$ cannot contain singleton

Published on 20 Mar 2026 - 8:46

score 128 · Answer 15 · 2026-03-25 06:21:41

128

Views

If $\mathbb{P}\in M$ is atomless and the filter $G$ is $\mathbb{P}$-generic over M, then $G\not\in M$.

Published on 25 Mar 2026 - 6:21

List Question

Which sequences arise as the eventuality filter of a sequence?

The proof of Generic Model Theorem (14.5) in Jech's Set Theory p.218

Possibility of preserving the ultrafilter on $\mathcal{P}_{\kappa}(\lambda)$ in V[G] after forcing with a <$\kappa$ directed closed poset?

Any filter is contained in a ultrafilter - Proof Explanation

Can two filters be "separated"?

Bijection between filters and ideals

Fill gaps in a topology proof

If $\mathcal{F}$ is a filter on a set $X$, then there exists an ultrafilter $\mathcal{U}$ such that $\mathcal{F} \subseteq \mathcal{U}$

Let $X$ be a finite set. Prove that every ultrafilter is a point filter.

Filters and surjectivity of functions

Two filters which converge to the same point are equivalent modulo $R$

Equivalent filters converge to the same point

Filter generates a topology compatible with the vector structure of $X$.

Non-principal filter of $\mathcal P(\mathbb N)$ cannot contain singleton

If $\mathbb{P}\in M$ is atomless and the filter $G$ is $\mathbb{P}$-generic over M, then $G\not\in M$.

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