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Characterizing Continuous dcpos by Liminf Convergence of Filters

Characterizing Continuous dcpos by Liminf Convergence of Filters
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摘要 It is proved in this note that,under a mild assumption,a dcpo L is continuous if and only if the liminf convergence on L is topological. It is proved in this note that,under a mild assumption,a dcpo L is continuous if and only if the liminf convergence on L is topological.
出处 《Communications in Mathematical Research》 CSCD 2011年第2期169-178,共10页 数学研究通讯(英文版)
基金 The NSF(10771147) of China
关键词 continuous dcpo meet continuous dcpo convergence space limit space pretopological space S-convergence liminf convergence continuous dcpo, meet continuous dcpo, convergence space, limit space, pretopological space, S-convergence, liminf convergence
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参考文献9

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