Geodesic
Relative symmetrizability and metrizability
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 757-774.

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Relative metrizability is defined and connections with other relative properties are established.
Classification : 54A05, 54A25, 54E35
Keywords: relative metrizability; relative proper metrizability; relative paracompactness 
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     title = {Relative symmetrizability and metrizability},
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Arhangel'skii, A. V.; Gordienko, I. Ju. Relative symmetrizability and metrizability. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 757-774. http://geodesic.mathdoc.fr/item/CMUC_1996__37_4_a7/