Spaces with σ - n -linked topologies as special subspaces of separable spaces

Ronnie Levy; Mikhail Matveev

Commentationes Mathematicae Universitatis Carolinae (1999)

  • Volume: 40, Issue: 3, page 561-570
  • ISSN: 0010-2628

Abstract

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We characterize spaces with σ - n -linked bases as specially embedded subspaces of separable spaces, and derive some corollaries, such as the 𝐜 -productivity of the property of having a σ -linked base.

How to cite

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Levy, Ronnie, and Matveev, Mikhail. "Spaces with $\sigma $-$n$-linked topologies as special subspaces of separable spaces." Commentationes Mathematicae Universitatis Carolinae 40.3 (1999): 561-570. <http://eudml.org/doc/248441>.

@article{Levy1999,
abstract = {We characterize spaces with $\sigma $-$n$-linked bases as specially embedded subspaces of separable spaces, and derive some corollaries, such as the $\mathbf \{c\}$-productivity of the property of having a $\sigma $-linked base.},
author = {Levy, Ronnie, Matveev, Mikhail},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {separable; c.c.c.; $\sigma $-centered base; $\sigma $-$n$-linked base; $I_n$-embedding; $I_\{<\omega \}$-embedding; product; Martin’s Axiom; $C_p$-spaces; c.c.c.; -centered base; --linked base; -embedding; -embedding; product; Martin's axiom; -spaces},
language = {eng},
number = {3},
pages = {561-570},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Spaces with $\sigma $-$n$-linked topologies as special subspaces of separable spaces},
url = {http://eudml.org/doc/248441},
volume = {40},
year = {1999},
}

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
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 40
IS - 3
SP - 561
EP - 570
AB - We characterize spaces with $\sigma $-$n$-linked bases as specially embedded subspaces of separable spaces, and derive some corollaries, such as the $\mathbf {c}$-productivity of the property of having a $\sigma $-linked base.
LA - eng
KW - separable; c.c.c.; $\sigma $-centered base; $\sigma $-$n$-linked base; $I_n$-embedding; $I_{<\omega }$-embedding; product; Martin’s Axiom; $C_p$-spaces; c.c.c.; -centered base; --linked base; -embedding; -embedding; product; Martin's axiom; -spaces
UR - http://eudml.org/doc/248441
ER -

References

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