𝓜𝓝-convergence and lim-inf𝓜-convergence in partially ordered sets

In this paper, we first introduce the notion of 𝓜𝓝-convergence in posets as an unified form of O-convergence and O2-convergence. Then, by studying the fundamental properties of 𝓜𝓝-topology which is determined by 𝓜𝓝-convergence according to the standard topological approach, an equivalent characteriz...

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Bibliographic Details
Main Authors: Sun Tao, Li Qingguo, Fan Nianbai
Format: Article
Language:English
Published: De Gruyter 2018-09-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2018-0090