An uncountable partition contained in the atomless σ-field

Radosław Drabiński. "An uncountable partition contained in the atomless σ-field." Colloquium Mathematicae 124.2 (2011): 219-223. <http://eudml.org/doc/284163>.

@article{RadosławDrabiński2011,
abstract = {This short note considers the question of whether every atomless σ-field contains an uncountable partition. The paper comments the situation for a couple of known σ-fields. A negative answer to the question is the main result.},
author = {Radosław Drabiński},
journal = {Colloquium Mathematicae},
keywords = {-independent; atomless; -field; -algebra},
language = {eng},
number = {2},
pages = {219-223},
title = {An uncountable partition contained in the atomless σ-field},
url = {http://eudml.org/doc/284163},
volume = {124},
year = {2011},
}

TY - JOUR
AU - Radosław Drabiński
TI - An uncountable partition contained in the atomless σ-field
JO - Colloquium Mathematicae
PY - 2011
VL - 124
IS - 2
SP - 219
EP - 223
AB - This short note considers the question of whether every atomless σ-field contains an uncountable partition. The paper comments the situation for a couple of known σ-fields. A negative answer to the question is the main result.
LA - eng
KW - -independent; atomless; -field; -algebra
UR - http://eudml.org/doc/284163
ER -