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
@article{SMJ2_2018_44_1-2_a2,
author = {Dimovski, Tomi and Dimovski, Don\v{c}o},
title = {Selection principles in (3, 1, {\ensuremath{\rho})-D-metrizable} spaces and (3, 2, {\ensuremath{\rho})-D-metrizable} spaces},
journal = {Serdica Mathematical Journal},
pages = {031--080},
publisher = {mathdoc},
volume = {44},
number = {1-2},
year = {2018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2018_44_1-2_a2/}
}
TY - JOUR AU - Dimovski, Tomi AU - Dimovski, Dončo TI - Selection principles in (3, 1, ρ)-D-metrizable spaces and (3, 2, ρ)-D-metrizable spaces JO - Serdica Mathematical Journal PY - 2018 SP - 031 EP - 080 VL - 44 IS - 1-2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SMJ2_2018_44_1-2_a2/ LA - en ID - SMJ2_2018_44_1-2_a2 ER -
%0 Journal Article %A Dimovski, Tomi %A Dimovski, Dončo %T Selection principles in (3, 1, ρ)-D-metrizable spaces and (3, 2, ρ)-D-metrizable spaces %J Serdica Mathematical Journal %D 2018 %P 031-080 %V 44 %N 1-2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SMJ2_2018_44_1-2_a2/ %G en %F SMJ2_2018_44_1-2_a2
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/