Rothberger's Property in All Finite Powers

Marion Scheepers

Rothberger's Property in All Finite Powers

Mathematics Department

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

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
Journal	Topology and its Applications
State	Published - 1 Nov 2008

Keywords

Ellentuck topology
Ramsey theory
Rothberger property
forcing
selection principle

EGS Disciplines

Mathematics

Access to Document

https://doi.org/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",

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day = "1",

language = "American English",

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TY - JOUR

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

UR - https://doi.org/10.1016/j.topol.2007.10.011

M3 - Article

SN - 0016-660X

JO - Topology and its Applications

JF - Topology and its Applications

ER -

Rothberger's Property in All Finite Powers

Abstract

Keywords

EGS Disciplines

Access to Document

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Cite this