Rothberger's Property in All Finite Powers

Marion Scheepers

doi:10.1016/j.topol.2007.10.011

Rothberger's Property in All Finite Powers

Marion Scheepers

Mathematics Department

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

2 Scopus citations

Abstract

A space X has the Rothberger property in all finite powers if, and only if, its collection of ω-covers has Ramseyan properties.

Original language	American English
Pages (from-to)	93-103
Number of pages	11
Journal	Topology and its Applications
Volume	156
Issue number	1
DOIs	https://doi.org/10.1016/j.topol.2007.10.011
State	Published - 1 Nov 2008

Keywords

Ellentuck topology
Ramsey theory
Rothberger property
forcing
selection principle

EGS Disciplines

Mathematics

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10.1016/j.topol.2007.10.011

Cite this

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title = "Rothberger's Property in All Finite Powers",

abstract = "A space X has the Rothberger property in all finite powers if, and only if, its collection of ω-covers has Ramseyan properties.",

keywords = "Ellentuck topology, Ramsey theory, Rothberger property, forcing, selection principle",

author = "Marion Scheepers",

year = "2008",

month = nov,

day = "1",

doi = "10.1016/j.topol.2007.10.011",

language = "American English",

volume = "156",

pages = "93--103",

number = "1",

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T1 - Rothberger's Property in All Finite Powers

AU - Scheepers, Marion

PY - 2008/11/1

Y1 - 2008/11/1

N2 - A space X has the Rothberger property in all finite powers if, and only if, its collection of ω-covers has Ramseyan properties.

AB - A space X has the Rothberger property in all finite powers if, and only if, its collection of ω-covers has Ramseyan properties.

KW - Ellentuck topology

KW - Ramsey theory

KW - Rothberger property

KW - forcing

KW - selection principle

UR - http://www.scopus.com/inward/record.url?scp=53849092029&partnerID=8YFLogxK

UR - https://scholarworks.boisestate.edu/math_facpubs/31

U2 - 10.1016/j.topol.2007.10.011

DO - 10.1016/j.topol.2007.10.011

M3 - Article

SN - 0016-660X

VL - 156

SP - 93

EP - 103

JO - Topology and its Applications

JF - Topology and its Applications

IS - 1

ER -

Rothberger's Property in All Finite Powers

Abstract

Keywords

EGS Disciplines

Access to Document

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