Title of article
P-Filters and the perfect set property
Author/Authors
He، نويسنده , , Jialiang and Zhang، نويسنده , , Shuguo، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2014
Pages
8
From page
12
To page
19
Abstract
In this paper, we prove that every non-meager P-filter F is a PSP ( Σ 1 1 ) -filter (that is, A ∩ F has the perfect set property whenever A is an analytic subset of 2 ω ) and the filter product of a Ramsey ultrafilter and a P ω 2 -point is a PSP ( Σ 1 1 ) -ultrafilter. These theorems strengthen a result of Miller and answer some questions asked by Andrea Medini and David Milovich.
Keywords
P-point , Non-meager P-filter , P ? 2 -point , Ramsey ultrafilter , PSP ( ? 1 1 ) -ultrafilter
Journal title
Topology and its Applications
Serial Year
2014
Journal title
Topology and its Applications
Record number
1584055
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