Geodesic
Symmetrizable spaces and factor mappings
Matematičeskie zametki, Tome 14 (1973) no. 5, pp. 713-722 
Ya. A. Kofner. Symmetrizable spaces and factor mappings. Matematičeskie zametki, Tome 14 (1973) no. 5, pp. 713-722. http://geodesic.mathdoc.fr/item/MZM_1973_14_5_a11/
@article{MZM_1973_14_5_a11,
     author = {Ya. A. Kofner},
     title = {Symmetrizable spaces and factor mappings},
     journal = {Matemati\v{c}eskie zametki},
     pages = {713--722},
     year = {1973},
     volume = {14},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_5_a11/}
}
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%A Ya. A. Kofner
%T Symmetrizable spaces and factor mappings
%J Matematičeskie zametki
%D 1973
%P 713-722
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%N 5
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Voir la notice de l'article provenant de la source Math-Net.Ru

Main results: A pseudostratifiable symmetrizable space possesses a symmetric with weak Cauchy condition. A space is strongly symmetrizable if and only if it is a pseudo-open $\Pi$-image of a metric space. There exists a zero-dimensional symmetrizable space without a symmetric with weak Cauchy condition.