Extreme factorization of metrizability

We examine the three metrization theorems of Sakai, Tamano and Yajima in the context of my results on factorization of metrizability, the latter having been refined so that the former all follow similarly and immediately. We finish with a generalization of Sakai–Tamano–Yajima: On a topological space...

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Bibliographic Details
Published in:Topology and its applications 2012-04, Vol.159 (6), p.1599-1602
Main Author: Hung, H.H.
Format: Article
Language:English
Subjects:
Bases
CP-regularity
Factorizations of metrizability
h-networks
HCP-regularity
k-networks
LF-regularity
PF-regularity
wcs-networks
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Summary:We examine the three metrization theorems of Sakai, Tamano and Yajima in the context of my results on factorization of metrizability, the latter having been refined so that the former all follow similarly and immediately. We finish with a generalization of Sakai–Tamano–Yajima: On a topological space of countable pseudocharacter, availability of an LF-regular h-network is equivalent to metrizability.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2011.04.034