Characterizing Continuous Dcpos by Liminf Convergence of Filters
Keywords:
continuous dcpo, meet continuous dcpo, convergence space, limit space, pretopological space, $S$-convergence, liminf convergence.Abstract
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.
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2021-05-24
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Characterizing Continuous Dcpos by Liminf Convergence of Filters. (2021). Communications in Mathematical Research, 27(2), 169-178. https://www.global-sci.com/index.php/cmr/article/view/8692