Infinite games in the Cantor space and subsystems of second order arithmetic

Infinite games in the Cantor space and subsystems of second order arithmetic
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DOI:
10.1002/malq.200610041
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发表时间:
2007-06
影响因子:
0.3
通讯作者:
Takako Nemoto;MedYahya Ould MedSalem;Kazuyuki Tanaka
Takako Nemoto;MedYahya Ould MedSalem;Kazuyuki Tanaka
中科院分区:
数学4区
文献类型:
--
作者:
Takako Nemoto;MedYahya Ould MedSalem;Kazuyuki Tanaka

文献摘要

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本文研究了Cantor空间中无限对策的决定性强度,并与Baire空间中的相应对策进行了比较。我们证明以下定理:
In this paper we study the determinacy strength of infinite games in the Cantor space and compare them with their counterparts in the Baire space. We show the following theorems: