Large open covers and a polarized partition relation

Marion Scheepers

doi:10.1080/16073606.1997.9632238

Large open covers and a polarized partition relation

Marion Scheepers

Mathematics Department

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

2 Scopus citations

Abstract

We show that a strengthened form of a property of Roth-berger implies that a certain polarized partition relation holds for the ω-covers of a space and that this partition relation implies a strengthened form of a property of Menger.

Original language	English
Pages (from-to)	707-714
Number of pages	8
Journal	Quaestiones Mathematicae
Volume	20
Issue number	4
DOIs	https://doi.org/10.1080/16073606.1997.9632238
State	Published - Dec 1997

Keywords

Menger property
Polarized partition relation
Rothberger property
ω-cover

Access to Document

10.1080/16073606.1997.9632238

Cite this

@article{32301395fecb426892d9ec145863480b,

title = "Large open covers and a polarized partition relation",

abstract = "We show that a strengthened form of a property of Roth-berger implies that a certain polarized partition relation holds for the ω-covers of a space and that this partition relation implies a strengthened form of a property of Menger.",

keywords = "Menger property, Polarized partition relation, Rothberger property, ω-cover",

author = "Marion Scheepers",

year = "1997",

month = dec,

doi = "10.1080/16073606.1997.9632238",

language = "English",

volume = "20",

pages = "707--714",

number = "4",

}

TY - JOUR

T1 - Large open covers and a polarized partition relation

AU - Scheepers, Marion

PY - 1997/12

Y1 - 1997/12

N2 - We show that a strengthened form of a property of Roth-berger implies that a certain polarized partition relation holds for the ω-covers of a space and that this partition relation implies a strengthened form of a property of Menger.

AB - We show that a strengthened form of a property of Roth-berger implies that a certain polarized partition relation holds for the ω-covers of a space and that this partition relation implies a strengthened form of a property of Menger.

KW - Menger property

KW - Polarized partition relation

KW - Rothberger property

KW - ω-cover

UR - https://www.scopus.com/pages/publications/85008852523

U2 - 10.1080/16073606.1997.9632238

DO - 10.1080/16073606.1997.9632238

M3 - Article

AN - SCOPUS:85008852523

SN - 1607-3606

VL - 20

SP - 707

EP - 714

JO - Quaestiones Mathematicae

JF - Quaestiones Mathematicae

IS - 4

ER -

Large open covers and a polarized partition relation

Abstract

Keywords

Access to Document

Other files and links

Cite this