| Selection Principles and Sierpinski Sets |
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| 引用本文： | Marion SCHEEPERS. Selection Principles and Sierpinski Sets[J]. 数学学报(英文版), 2007, 23(7): 1153-1162. DOI: 10.1007/s10114-005-0810-3 |
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| 作者姓名： | Marion SCHEEPERS |
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| 作者单位： | Department of Mathematics, Boise State University, Boise, ID 83725, USA |
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| 基金项目： | This research was supported, in part, by NSF grant 99-71282 |
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| 摘 要： |
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| 关 键 词： | 选择原则 无限对策 L-空间 集合论 |
| 收稿时间： | 2005-02-25 |
| 修稿时间： | 2005-02-252005-09-01 |
Selection Principles and Sierpinski Sets |
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| Marion Scheepers. Selection Principles and Sierpinski Sets[J]. Acta Mathematica Sinica(English Series), 2007, 23(7): 1153-1162. DOI: 10.1007/s10114-005-0810-3 |
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| Authors: | Marion Scheepers |
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| Affiliation: | (1) Department of Mathematics, Boise State University, Boise, ID 83725, USA |
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| Abstract: | 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. |
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| Keywords: | Sierpinski set selection principle infinite game partition relation L-space |
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