On a new convergence in topological spaces

In this paper, we introduce a new way-below relation in T0 topological spaces based on cuts and give the concepts of SI2-continuous spaces and weakly irreducible topologies. It is proved that a space is SI2-continuous if and only if its weakly irreducible topology is completely distributive under in...

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Bibliographic Details
Main Authors: Ruan Xiao-jun, Xu Xiao-quan
Format: Article
Language:English
Published: De Gruyter 2019-12-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2019-0123