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- The S-space problem, and the cardinal invariant $\mathfrak b$ April 4, 2013
- An $S$-space from a Cohen real April 3, 2013
- Forcing with a Souslin tree makes $\mathfrak p=\omega_1$ April 1, 2013
- The S-space problem, and the cardinal invariant $\mathfrak p$ March 28, 2013
- Jones’ theorem on the cardinal invariant $\mathfrak p$ March 26, 2013
- Erdős 100 March 26, 2013
- Bell’s theorem on the cardinal invariant $\mathfrak p$ March 21, 2013
- The $\Delta$-system lemma: an elementary proof March 20, 2013
Keywords
incompactness Rado's conjecture Axiom R Singular Density Diamond Erdos Cardinal Ostaszewski square sap Singular Cofinality stationary hitting Small forcing weak diamond S-Space Erdos-Hajnal graphs middle diamond Souslin Tree Hereditarily Lindelöf space very good scale Prikry-type forcing Generalized Clubs Rainbow sets Rock n' Roll Knaster Almost countably chromatic Partition Relations projective Boolean algebra Non-saturation Antichain Sakurai's Bell inequality Uniformization Chromatic number Whitehead Problem P-Ideal Dichotomy Cardinal function Large Cardinals polarized partition relation Poset free Boolean algebra Shelah's Strong Hypothesis Square-Brackets Partition Relations Mandelbrot set Cohen real diamond star square Successor of Singular Cardinal weak square Singular cardinals combinatorics Kurepa Hypothesis b-scale Club Guessing approachability ideal Dushnik-Miller Foundations PFA(S)[S] Aronszajn tree Minimal Walks reflection principles Successor of Regular Cardinal stationary reflection Forcing Prevalent singular cardinals
Tag Archives: Singular Cofinality
Logic in Hungary 2005
These are the slides of a contributed talk given at the Logic in Hungary 2005 meeting (Budapest, 5–11 August 2005). Talk Title: On the consistency strength of the Milner-Sauer Conjecture Abstract: In their paper from 1981, after learning about Pouzet‘s theorem that any … Continue reading
Posted in Contributed Talks
Tagged Antichain, Shelah's Strong Hypothesis, Singular Cofinality
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On the consistency strength of the Milner-Sauer conjecture
Abstract: In their paper from 1981, Milner and Sauer conjectured that for any poset $\mathbb P$, if $\text{cf}(\mathbb P)$ is a singular cardinal $\lambda$, then $\mathbb P$ must contain an antichain of size $\text{cf}(\lambda)$. The conjecture is consistent and known … Continue reading
Posted in Publications
Tagged 03E04, 03E05, 03E45, 03E55, 03E65, Large Cardinals, Poset, Shelah's Strong Hypothesis, Singular Cofinality, Singular Density
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Antichains in partially ordered sets of singular cofinality
Abstract: In their paper from 1981, Milner and Sauer conjectured that for any poset $\mathbb P$, if $\text{cf}(\mathbb P)$ is a singular cardinal $\lambda$, then $\mathbb P$ must contain an antichain of size $\text{cf}(\lambda)$. The main result of of this … Continue reading
Posted in Publications
Tagged 03E04, 03E35, 06A07, Antichain, Poset, Singular Cofinality
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