Abstract
In this paper, we prove that every non-meager P-filter F is a PSP(σ11)-filter (that is, A∩F has the perfect set property whenever A is an analytic subset of 2•) and the filter product of a Ramsey ultrafilter and a P•2-point is a PSP(σ11)-ultrafilter. These theorems strengthen a result of Miller and answer some questions asked by Andrea Medini and David Milovich.
Original language | English |
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Pages (from-to) | 12-19 |
Number of pages | 8 |
Journal | Topology and its Applications |
Volume | 162 |
Issue number | 1 |
DOIs | |
State | Published - 1 Feb 2014 |
Externally published | Yes |
Bibliographical note
Funding Information:This work was supported by NSFC Grants # 10971149 and # 11271272 .
Funding
This work was supported by NSFC Grants # 10971149 and # 11271272 .
Funders | Funder number |
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National Natural Science Foundation of China | 10971149, 11271272 |
Keywords
- Non-meager P-filter
- P-point
- PSP(σ11)-ultrafilter
- P•2-point
- Ramsey ultrafilter