Tactic-proximal compact spaces are strong Eberlein compact

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• 作者：Steven Clontz ^{steven.clontz@gmail.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：54E15 ; 54D30 ; 54A20
• 刊名：Topology and its Applications
• 出版年：2016
• 出版时间：15 May 2016
• 年：2016
• 卷：204
• 期：Complete
• 页码：306-317
• 全文大小：327 K

文摘

The author and G. Gruenhage previously showed that J. Bell's proximal game may be used to characterize Corson compactness in compact Hausdorff spaces. Using tactical strategies considering only the most recent move of the opponent, the proximal game may also be used to characterize the strong Eberlein compactness property. In doing so, a purely topological characterization of the proximal game is introduced, and several existing results on the proximal game are given analogues considering limited information strategies.