TY - JOUR T1 - Characterizing Continuous Dcpos by Liminf Convergence of Filters AU - Wang , Hui AU - Zhang , Dexue JO - Communications in Mathematical Research VL - 2 SP - 169 EP - 178 PY - 2021 DA - 2021/05 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19098.html KW - continuous dcpo, meet continuous dcpo, convergence space, limit space, pretopological space, $S$-convergence, liminf convergence. AB -

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.