On spaces with the ideal convergence property

Jakub Jasinski, and Ireneusz Recław. "On spaces with the ideal convergence property." Colloquium Mathematicae 111.1 (2008): 43-50. <http://eudml.org/doc/284035>.

@article{JakubJasinski2008,
abstract = {Let I ⊆ P(ω) be an ideal. We continue our investigation of the class of spaces with the I-ideal convergence property, denoted (I). We show that if I is an analytic, non-countably generated P-ideal then (I) ⊆ s₀. If in addition I is non-pathological and not isomorphic to $I_\{b\}$, then (I) spaces have measure zero. We also present a characterization of the (I) spaces using clopen covers.},
author = {Jakub Jasinski, Ireneusz Recław},
journal = {Colloquium Mathematicae},
keywords = {P-ideals; ideal convergence; open cover},
language = {eng},
number = {1},
pages = {43-50},
title = {On spaces with the ideal convergence property},
url = {http://eudml.org/doc/284035},
volume = {111},
year = {2008},
}

TY - JOUR
AU - Jakub Jasinski
AU - Ireneusz Recław
TI - On spaces with the ideal convergence property
JO - Colloquium Mathematicae
PY - 2008
VL - 111
IS - 1
SP - 43
EP - 50
AB - Let I ⊆ P(ω) be an ideal. We continue our investigation of the class of spaces with the I-ideal convergence property, denoted (I). We show that if I is an analytic, non-countably generated P-ideal then (I) ⊆ s₀. If in addition I is non-pathological and not isomorphic to $I_{b}$, then (I) spaces have measure zero. We also present a characterization of the (I) spaces using clopen covers.
LA - eng
KW - P-ideals; ideal convergence; open cover
UR - http://eudml.org/doc/284035
ER -