Geodesic
The wf-rank of topological spaces
Filomat, Tome 36 (2022) no. 5, p. 1507

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DOI

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 T 0-spaces has been established. In this paper, we introduce the definition of wf-rank and prove that for any ordinal α, there exists a T 0-space whose wf-rank equals α.
DOI : 10.2298/FIL2205507L
Classification : 06B30, 54A05
Keywords: wf-rank, KF-set, well-filtered spaces, well-filterification 
Qingguo Li; Bei Liu; Weng Kin Ho. The wf-rank of topological spaces. Filomat, Tome 36 (2022) no. 5, p. 1507 . doi: 10.2298/FIL2205507L
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     title = {The wf-rank of topological spaces},
     journal = {Filomat},
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     year = {2022},
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     number = {5},
     doi = {10.2298/FIL2205507L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2205507L/}
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