The WF-rank of topological spaces

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Type
Article
Citation
Li, Q., Liu, B., & Ho, W. K. (2022). The WF-rank of topological spaces. Filomat, 36(5), 1507-1525. https://doi.org/10.2298/fil2205507l
Author
Li, Qingguo
•
Liu, Bei
•
Ho, Weng Kin 
Abstract
The class of well-filtered spaces is one of the important class of topological spaces in domain theory. Recently, the existence of well-filterification of T0-spaces has been established. In this paper, we introduce the definition of wf-rank and prove that for any ordinal α, there exists a T0-space whose wf-rank equals α.
Keywords
Date Issued
2022
Publisher
University of Nis
Journal
Filomat
DOI
10.2298/fil2205507l
Description
The open access publication is available at: https://doi.org/10.2298/fil2205507l