On CCC boolean algebras and partial orders
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 537-544
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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. $|P|\leq \kappa ^{+\omega }$ (the $\omega ^{\text{th}}$ successor of $\kappa $) and $|P|\leq 2^{\kappa }$ then $P$ is $\kappa $-linked.
Classification :
03E05, 04A20, 05C69, 06A07, 06E10
Keywords: boolean algebra; partial order; CCC
Keywords: boolean algebra; partial order; CCC
@article{CMUC_1997__38_3_a8,
author = {Hajnal, A. and Juh\'asz, I. and Szentmikl\'ossy, Z.},
title = {On {CCC} boolean algebras and partial orders},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {537--544},
publisher = {mathdoc},
volume = {38},
number = {3},
year = {1997},
mrnumber = {1485073},
zbl = {0938.06001},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1997__38_3_a8/}
}
TY - JOUR AU - Hajnal, A. AU - Juhász, I. AU - Szentmiklóssy, Z. TI - On CCC boolean algebras and partial orders JO - Commentationes Mathematicae Universitatis Carolinae PY - 1997 SP - 537 EP - 544 VL - 38 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1997__38_3_a8/ LA - en ID - CMUC_1997__38_3_a8 ER -
Hajnal, A.; Juhász, I.; Szentmiklóssy, Z. On CCC boolean algebras and partial orders. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 537-544. http://geodesic.mathdoc.fr/item/CMUC_1997__38_3_a8/