Selection principles and Sierpinski sets

Marion Scheepers

doi:10.1007/s10114-005-0810-3

Selection principles and Sierpinski sets

Marion Scheepers

Mathematics Department

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

1 Scopus citations

Abstract

We show that a set of real numbers is a Sierpiński set if, and only if, it satisfies a selection property similar to the familiar Menger property.

Original language	English
Pages (from-to)	1153-1162
Number of pages	10
Journal	Acta Mathematica Sinica, English Series
Volume	23
Issue number	7
DOIs	https://doi.org/10.1007/s10114-005-0810-3
State	Published - Jul 2007

Keywords

Infinite game
L-space
Partition relation
Selection principle
Sierpinski set

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10.1007/s10114-005-0810-3

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KW - Infinite game

KW - L-space

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KW - Sierpinski set

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Selection principles and Sierpinski sets

Abstract

Keywords

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