Volume 27, Issue 2
Characterizing Continuous Dcpos by Liminf Convergence of Filters

Commun. Math. Res., 27 (2011), pp. 169-178.

Published online: 2021-05

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• 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.

06B35, 54A20

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@Article{CMR-27-169, author = {Wang , Hui and Zhang , Dexue}, title = {Characterizing Continuous Dcpos by Liminf Convergence of Filters}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {27}, number = {2}, pages = {169--178}, 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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19098.html} }
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.

Hui Wang & Dexue Zhang. (2021). Characterizing Continuous Dcpos by Liminf Convergence of Filters. Communications in Mathematical Research . 27 (2). 169-178. doi:
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