1 citations · 1 across the 4 of their papers we have counts for
6 papers
An easy proof that there may be no P-points
David Chodounský, Osvaldo Guzmán, Jonathan Verner
We provide an easy proof that there are no P-points in the models obtained by adding many Silver reals with countable support to a model of CH.
Almost disjoint families and the geometry of nonseparable spheres
Osvaldo Guzmán, Michael Hrušák, Piotr Koszmider
We consider uncountable almost disjoint families of subsets of , the Johnson-Lindenstrauss Banach spaces induced by them, and…
Combinatorial properties of MAD families
Jörg Brendle, Osvaldo Guzmán, Michael Hrušák +1
We study some strong combinatorial properties of families. An ideal is Shelah-Steprāns if for every set there is an…
HL ideals and Sacks indestructible ultrafilters
David Chodounský, Osvaldo Guzmán, Michael Hrušák
We study ultrafilters on countable sets and reaping families which are indestructible by Sacks forcing. We deal with the combinatorial characterization of such families and we prov…
On -embeddability of almost disjoint families and Akemann-Doner C*-algebras
Osvaldo Guzmán, Michael Hrušák, Piotr Koszmider
An almost disjoint family of subsets of is said to be -embeddable if there is a function such that the sets $…
There are no P-points in Silver extensions
David Chodounský, Osvaldo Guzmán
We prove that after adding a Silver real no ultrafilter from the ground model can be extended to a P-point, and this remains to be the case in any further extension which has the S…