On CCC boolean algebras and partial orders

@article{Hajnal1997,
abstract = {We partially strengthen a result of Shelah from [Sh] by proving that if $\kappa =\kappa ^\{\omega \}$ and $P$ is a CCC partial order with e.g. $|P|\le \kappa ^\{+\omega \}$ (the $\omega ^\{\text\{th\}\}$ successor of $\kappa $) and $|P|\le 2^\{\kappa \}$ then $P$ is $\kappa $-linked.},
author = {Hajnal, András, Juhász, István, Szentmiklóssy, Zoltán},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {boolean algebra; partial order; CCC; CCC Boolean algebra; CCC poset; indepedent set of a graph},
language = {eng},
number = {3},
pages = {537-544},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On CCC boolean algebras and partial orders},
url = {http://eudml.org/doc/248076},
volume = {38},
year = {1997},
}

TY - JOUR
AU - Hajnal, András
AU - Juhász, István
AU - Szentmiklóssy, Zoltán
TI - On CCC boolean algebras and partial orders
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 3
SP - 537
EP - 544
AB - We partially strengthen a result of Shelah from [Sh] by proving that if $\kappa =\kappa ^{\omega }$ and $P$ is a CCC partial order with e.g. $|P|\le \kappa ^{+\omega }$ (the $\omega ^{\text{th}}$ successor of $\kappa $) and $|P|\le 2^{\kappa }$ then $P$ is $\kappa $-linked.
LA - eng
KW - boolean algebra; partial order; CCC; CCC Boolean algebra; CCC poset; indepedent set of a graph
UR - http://eudml.org/doc/248076
ER -