Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658817 | Topology and its Applications | 2014 | 8 Pages |
Abstract
In this paper, we prove that every non-meager P-filter FF is a PSP(Σ11)-filter (that is, A∩FA∩F has the perfect set property whenever A is an analytic subset of 2ω2ω) and the filter product of a Ramsey ultrafilter and a Pω2Pω2-point is a PSP(Σ11)-ultrafilter. These theorems strengthen a result of Miller and answer some questions asked by Andrea Medini and David Milovich.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Jialiang He, Shuguo Zhang,