Partition Relations for Hurewicz-Type Selection Hypotheses

Nadav Samet; Marion Scheepers; Boaz Tsaban

doi:10.1016/j.topol.2008.08.013

Partition Relations for Hurewicz-Type Selection Hypotheses

Nadav Samet, Marion Scheepers, Boaz Tsaban

Mathematics Department

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

11 Scopus citations

Abstract

We give a general method to reduce Hurewicz-type selection hypotheses into standard ones. The method covers the known results of this kind and gives some new ones. Building on that, we show how to derive Ramsey theoretic characterizations for these selection hypotheses.

Original language	American English
Pages (from-to)	616-623
Number of pages	8
Journal	Topology and its Applications
Volume	156
Issue number	3
DOIs	https://doi.org/10.1016/j.topol.2008.08.013
State	Published - 1 Jan 2009

Keywords

τ-covers
Hurewicz covering property
Ramsey theory of open covers
Selection principles

EGS Disciplines

Mathematics

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10.1016/j.topol.2008.08.013License: Other

Cite this

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title = "Partition Relations for Hurewicz-Type Selection Hypotheses",

abstract = " We give a general method to reduce Hurewicz-type selection hypotheses into standard ones. The method covers the known results of this kind and gives some new ones. Building on that, we show how to derive Ramsey theoretic characterizations for these selection hypotheses.",

keywords = "τ-covers, Hurewicz covering property, Ramsey theory of open covers, Selection principles",

author = "Nadav Samet and Marion Scheepers and Boaz Tsaban",

year = "2009",

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doi = "10.1016/j.topol.2008.08.013",

language = "American English",

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T1 - Partition Relations for Hurewicz-Type Selection Hypotheses

AU - Samet, Nadav

AU - Scheepers, Marion

AU - Tsaban, Boaz

PY - 2009/1/1

Y1 - 2009/1/1

N2 - We give a general method to reduce Hurewicz-type selection hypotheses into standard ones. The method covers the known results of this kind and gives some new ones. Building on that, we show how to derive Ramsey theoretic characterizations for these selection hypotheses.

AB - We give a general method to reduce Hurewicz-type selection hypotheses into standard ones. The method covers the known results of this kind and gives some new ones. Building on that, we show how to derive Ramsey theoretic characterizations for these selection hypotheses.

KW - τ-covers

KW - Hurewicz covering property

KW - Ramsey theory of open covers

KW - Selection principles

UR - http://www.scopus.com/inward/record.url?scp=58349086716&partnerID=8YFLogxK

UR - https://scholarworks.boisestate.edu/math_facpubs/30

U2 - 10.1016/j.topol.2008.08.013

DO - 10.1016/j.topol.2008.08.013

M3 - Article

SN - 0016-660X

VL - 156

SP - 616

EP - 623

JO - Topology and its Applications

JF - Topology and its Applications

IS - 3

ER -

Partition Relations for Hurewicz-Type Selection Hypotheses

Abstract

Keywords

EGS Disciplines

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