Forcing for hL and hd

Andrzej Rosłanowski, and Saharon Shelah. "Forcing for hL and hd." Colloquium Mathematicae 88.2 (2001): 273-310. <http://eudml.org/doc/286592>.

@article{AndrzejRosłanowski2001,
abstract = {The present paper addresses the problem of attainment of the supremums in various equivalent definitions of the hereditary density hd and hereditary Lindelöf degree hL of Boolean algebras. We partially answer two problems of J. Donald Monk [13, Problems 50, 54], showing consistency of different attainment behaviour and proving that (for the variants considered) this is the best result we can expect.},
author = {Andrzej Rosłanowski, Saharon Shelah},
journal = {Colloquium Mathematicae},
keywords = {cardinal invariants; Boolean algebras; spread; hereditary density; hereditary Lindelöf degree; attainment; consistency},
language = {eng},
number = {2},
pages = {273-310},
title = {Forcing for hL and hd},
url = {http://eudml.org/doc/286592},
volume = {88},
year = {2001},
}

TY - JOUR
AU - Andrzej Rosłanowski
AU - Saharon Shelah
TI - Forcing for hL and hd
JO - Colloquium Mathematicae
PY - 2001
VL - 88
IS - 2
SP - 273
EP - 310
AB - The present paper addresses the problem of attainment of the supremums in various equivalent definitions of the hereditary density hd and hereditary Lindelöf degree hL of Boolean algebras. We partially answer two problems of J. Donald Monk [13, Problems 50, 54], showing consistency of different attainment behaviour and proving that (for the variants considered) this is the best result we can expect.
LA - eng
KW - cardinal invariants; Boolean algebras; spread; hereditary density; hereditary Lindelöf degree; attainment; consistency
UR - http://eudml.org/doc/286592
ER -