Characterizing Continuous Dcpos by Liminf Convergence of Filters
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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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