213 citations
- University of California, Santa BarbaraUS4 papers
- Bar-Ilan UniversityIL3 papers
- University of California, Los AngelesUS3 papers
- Brookhaven National LaboratoryUS2 papers
- California Institute of TechnologyUS2 papers
- Cornell UniversityUS2 papers
- Harvard UniversityUS2 papers
- Leiden UniversityNL2 papers
- Los Alamos National LaboratoryUS2 papers
- Louisiana State UniversityUS2 papers
- Massachusetts Institute of TechnologyUS2 papers
- Rice UniversityUS2 papers
5 papers · 1 filter
Forcing with quotients
Michael Hrusak, Jindrich Zapletal
We study an extensive connection between factor forcings of Borel subsets of Polish spaces modulo a sigma-ideal, and factor forcings of subsets of countable sets modulo an ideal.
Between Maharam's and von Neumann's problems
Ilijas Farah, Jindrich Zapletal
If I is a suitably definable sigma-ideal on the real line and the factor algebra of Borel sets modulo I is weakly distributive then the algebra carries a Maharam submeasure.
On the structure of stationary sets
Q. Feng, T. Jech, J. Zapletal
We isolate several classes of stationary sets of kappa^omega and investigate implications among them. Under a large cardinal assumption, we prove a structure theorem for stationary…
Proper forcing and rectangular Ramsey theorems
Jindrich Zapletal
I prove forcing preservation theorems for products of definable partial orders preserving the cofinality of the meager or null ideal. Rectangular Ramsey theorems for related ideals…
Duality and the pcf theory
Saharon Shelah, Jindrich Zapletal
We consider natural cardinal invariants hm_n and prove several duality theorems, saying roughly: if I is a suitably definable ideal and provably cov(I)>=hm_n, then non(I) is provab…