Question

Show that for every uncountable $A \subseteq \omega_1$, the set $\{\alpha \in Lim(\omega_1): A_\alpha \subseteq A\}$ is stationary in $\omega_1$

score 325 · Answer 1 · 2019-09-12 07:21:34

Show that for every uncountable $A \subseteq \omega_1$, the set $\{\alpha \in Lim(\omega_1): A_\alpha \subseteq A\}$ is stationary in $\omega_1$

score 67 · Answer 2 · 2019-09-17 14:06:55

67

Views

Ramsey cardinals lemma

Published on 17 Sep 2019 - 14:06

score 142 · Answer 3 · 2019-09-23 11:02:57

142

Views

Simple property of arrow notation

Published on 23 Sep 2019 - 11:02

score 206 · Answer 4 · 2014-04-06 22:12:07

206

Views

almost disjoint functions from $\aleph_{\omega+1}$ to $\aleph_\omega$

Published on 06 Apr 2014 - 22:12

score 290 · Answer 5 · 2014-04-08 19:54:33

290

Views

Building normal filters around a stationary set

Published on 08 Apr 2014 - 19:54

score 72 · Answer 6 · 2014-04-18 11:47:32

72

Views

How to show that every Suslin tree is Frechet-Urysohn

Published on 18 Apr 2014 - 11:47

score 137 · Answer 7 · 2026-03-22 02:55:37

137

Views

Can we construct from $[0,\omega_1)$ a space which is strictly-Frechet with no winning strategy in $G_{np}(q,E)$?

Published on 22 Mar 2026 - 2:55

score 116 · Answer 8 · 2014-04-23 12:09:52

116

Views

What can we say about the one point compactification of a Suslin tree?

Published on 23 Apr 2014 - 12:09

score 164 · Answer 9 · 2014-04-25 23:29:36

164

Views

A non-first-countable topological space in which ONE has a winning strategy in $G_{np}(q,E)$ .

Published on 25 Apr 2014 - 23:29

score 132 · Answer 10 · 2014-04-30 08:54:27

132

Views

The point-open game and $\omega$-covers

Published on 30 Apr 2014 - 8:54

score 83 · Answer 11 · 2026-03-21 22:03:28

83

Views

Does any $\omega$-cover in which $X \in L(\mathcal U)$ is also a $\gamma$-cover?

Published on 21 Mar 2026 - 22:03

score 406 · Answer 12 · 2014-05-10 19:15:55

406

Views

Hindman's theorem on coloring a set with $n$ colours

Published on 10 May 2014 - 19:15

score 222 · Answer 13 · 2014-05-18 23:24:15

222

Views

countably closed forcing cannot add a branch to a $\aleph_2$-tree if $\neg\mathsf{CH}$

Published on 18 May 2014 - 23:24

score 146 · Answer 14 · 2014-05-31 17:01:53

146

Views

Is this an equivalent characterization of rapid filters?

Published on 31 May 2014 - 17:01

score 319 · Answer 15 · 2014-06-16 22:03:00

319

Views

Martin's Axiom and products of c.c.c. spaces

Published on 16 Jun 2014 - 22:03

List Question

Show that for every uncountable $A \subseteq \omega_1$, the set $\{\alpha \in Lim(\omega_1): A_\alpha \subseteq A\}$ is stationary in $\omega_1$

Ramsey cardinals lemma

Simple property of arrow notation

almost disjoint functions from $\aleph_{\omega+1}$ to $\aleph_\omega$

Building normal filters around a stationary set

How to show that every Suslin tree is Frechet-Urysohn

Can we construct from $[0,\omega_1)$ a space which is strictly-Frechet with no winning strategy in $G_{np}(q,E)$?

What can we say about the one point compactification of a Suslin tree?

A non-first-countable topological space in which ONE has a winning strategy in $G_{np}(q,E)$ .

The point-open game and $\omega$-covers

Does any $\omega$-cover in which $X \in L(\mathcal U)$ is also a $\gamma$-cover?

Hindman's theorem on coloring a set with $n$ colours

countably closed forcing cannot add a branch to a $\aleph_2$-tree if $\neg\mathsf{CH}$

Is this an equivalent characterization of rapid filters?

Martin's Axiom and products of c.c.c. spaces

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