Spaces with $\sigma$-$n$-linked topologies as special subspaces of separable spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 3, pp. 561-570
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We characterize spaces with $\sigma$-$n$-linked bases as specially embedded subspaces of separable spaces, and derive some corollaries, such as the $\bold c$-productivity of the property of having a $\sigma$-linked base.
Classification :
54B10, 54C25, 54D65, 54D70
Keywords: separable; c.c.c.; $\sigma$-centered base; $\sigma$-$n$-linked base; $I_n$-em\-bed\-ding; $I_{<\omega}$-em\-bed\-ding; product; Martin's Axiom; $C_p$-spaces
Keywords: separable; c.c.c.; $\sigma$-centered base; $\sigma$-$n$-linked base; $I_n$-em\-bed\-ding; $I_{<\omega}$-em\-bed\-ding; product; Martin's Axiom; $C_p$-spaces
@article{CMUC_1999__40_3_a14,
author = {Levy, Ronnie and Matveev, Mikhail},
title = {Spaces with $\sigma$-$n$-linked topologies as special subspaces of separable spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {561--570},
publisher = {mathdoc},
volume = {40},
number = {3},
year = {1999},
mrnumber = {1732480},
zbl = {1010.54026},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1999__40_3_a14/}
}
TY - JOUR AU - Levy, Ronnie AU - Matveev, Mikhail TI - Spaces with $\sigma$-$n$-linked topologies as special subspaces of separable spaces JO - Commentationes Mathematicae Universitatis Carolinae PY - 1999 SP - 561 EP - 570 VL - 40 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1999__40_3_a14/ LA - en ID - CMUC_1999__40_3_a14 ER -
%0 Journal Article %A Levy, Ronnie %A Matveev, Mikhail %T Spaces with $\sigma$-$n$-linked topologies as special subspaces of separable spaces %J Commentationes Mathematicae Universitatis Carolinae %D 1999 %P 561-570 %V 40 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMUC_1999__40_3_a14/ %G en %F CMUC_1999__40_3_a14
Levy, Ronnie; Matveev, Mikhail. Spaces with $\sigma$-$n$-linked topologies as special subspaces of separable spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 3, pp. 561-570. http://geodesic.mathdoc.fr/item/CMUC_1999__40_3_a14/