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Selection Principles and Sierpinski Sets

Selection Principles and Sierpinski Sets
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摘要 We show that a set of real numbers is a Sierpinski set if, and only if, it satisfies a selection property similar to the familiar Menger property. We show that a set of real numbers is a Sierpinski set if, and only if, it satisfies a selection property similar to the familiar Menger property.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第7期1153-1162,共10页 数学学报(英文版)
基金 NSF grant 99-71282
关键词 Sierpinski set selection principle infinite game partition relation L-space Sierpinski set, selection principle, infinite game, partition relation, L-space
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