Rapid interval P-points

Jialiang He; Renling Jin; Shuguo Zhang

doi:10.1016/j.topol.2020.107333

Rapid interval P-points

Jialiang He, Renling Jin, Shuguo Zhang

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper a rapid non-interval P-point and a rapid non-weakly Ramsey interval P-point are constructed assuming Continuum Hypothesis or Martin's Axiom. These constructions, with the help of geometric interpretations for some needed configurations, provide the examples of rapid ultrafilters for an affirmative answer to a question of Blass, Di Nasso, and Forti.

Original language	English
Article number	107333
Journal	Topology and its Applications
Volume	283
DOIs	https://doi.org/10.1016/j.topol.2020.107333
State	Published - 1 Sep 2020
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020 Elsevier B.V.

Keywords

Interval P-point
P-point
Quasi-selective ultrafilter
Rapid ultrafilter
Selective ultrafilter
Weakly Ramsey ultrafilter

Access to Document

10.1016/j.topol.2020.107333

Cite this

@article{77589180d020490d98f5ddb65c7f3caf,

title = "Rapid interval P-points",

abstract = "In this paper a rapid non-interval P-point and a rapid non-weakly Ramsey interval P-point are constructed assuming Continuum Hypothesis or Martin's Axiom. These constructions, with the help of geometric interpretations for some needed configurations, provide the examples of rapid ultrafilters for an affirmative answer to a question of Blass, Di Nasso, and Forti.",

keywords = "Interval P-point, P-point, Quasi-selective ultrafilter, Rapid ultrafilter, Selective ultrafilter, Weakly Ramsey ultrafilter",

author = "Jialiang He and Renling Jin and Shuguo Zhang",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",

year = "2020",

month = sep,

day = "1",

doi = "10.1016/j.topol.2020.107333",

language = "אנגלית",

volume = "283",

journal = "Topology and its Applications",

issn = "0166-8641",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Rapid interval P-points

AU - He, Jialiang

AU - Jin, Renling

AU - Zhang, Shuguo

PY - 2020/9/1

Y1 - 2020/9/1

N2 - In this paper a rapid non-interval P-point and a rapid non-weakly Ramsey interval P-point are constructed assuming Continuum Hypothesis or Martin's Axiom. These constructions, with the help of geometric interpretations for some needed configurations, provide the examples of rapid ultrafilters for an affirmative answer to a question of Blass, Di Nasso, and Forti.

AB - In this paper a rapid non-interval P-point and a rapid non-weakly Ramsey interval P-point are constructed assuming Continuum Hypothesis or Martin's Axiom. These constructions, with the help of geometric interpretations for some needed configurations, provide the examples of rapid ultrafilters for an affirmative answer to a question of Blass, Di Nasso, and Forti.

KW - Interval P-point

KW - P-point

KW - Quasi-selective ultrafilter

KW - Rapid ultrafilter

KW - Selective ultrafilter

KW - Weakly Ramsey ultrafilter

UR - http://www.scopus.com/inward/record.url?scp=85088941872&partnerID=8YFLogxK

U2 - 10.1016/j.topol.2020.107333

DO - 10.1016/j.topol.2020.107333

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85088941872

SN - 0166-8641

VL - 283

JO - Topology and its Applications

JF - Topology and its Applications

M1 - 107333

ER -

Rapid interval P-points

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this