Geodesic
Selection principles in (3, 1, ρ)-D-metrizable spaces and (3, 2, ρ)-D-metrizable spaces
Serdica Mathematical Journal, Tome 44 (2018) no. 1-2, pp. 031-080.

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In this paper we introduce and investigate M, R and H-boundedness properties in (3, j, ρ) − D-metrizable spaces, j ∈ {1, 2}, related to the classical covering properties of Menger, Rothberger and Hurewicz.
Keywords: (3, 1, ρ)-D-metrizable spaces space, (3, 2, ρ)-D-metrizable spaces, M-bounded space, R-bounded space, H-bounded space, D-precompact space, σ-D-precompact space, D-preLindelof space, D-bounded space, 54D20, 54A05, 54E99 
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Dimovski, Tomi; Dimovski, Dončo. Selection principles in (3, 1, ρ)-D-metrizable spaces and (3, 2, ρ)-D-metrizable spaces. Serdica Mathematical Journal, Tome 44 (2018) no. 1-2, pp. 031-080. http://geodesic.mathdoc.fr/item/SMJ2_2018_44_1-2_a2/