When is the union of an increasing family of null sets?
Juan González-Hernández; Fernando Hernández-Hernández; César E. Villarreal
Commentationes Mathematicae Universitatis Carolinae (2007)
- Volume: 48, Issue: 4, page 623-630
- ISSN: 0010-2628
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topGonzález-Hernández, Juan, Hernández-Hernández, Fernando, and Villarreal, César E.. "When is $\mathbb {R}$ the union of an increasing family of null sets?." Commentationes Mathematicae Universitatis Carolinae 48.4 (2007): 623-630. <http://eudml.org/doc/250209>.
@article{González2007,
abstract = {We study the problem in the title and show that it is equivalent to the fact that every set of reals is an increasing union of measurable sets. We also show the relationship of it with Sierpi'nski sets.},
author = {González-Hernández, Juan, Hernández-Hernández, Fernando, Villarreal, César E.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Sierp'nski set; null sets; random forcing; rational perfect set forcing; Miller forcing; Sierpiński set; null sets; random forcing; rational perfect set forcing; Miller forcing},
language = {eng},
number = {4},
pages = {623-630},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {When is $\mathbb \{R\}$ the union of an increasing family of null sets?},
url = {http://eudml.org/doc/250209},
volume = {48},
year = {2007},
}
TY - JOUR
AU - González-Hernández, Juan
AU - Hernández-Hernández, Fernando
AU - Villarreal, César E.
TI - When is $\mathbb {R}$ the union of an increasing family of null sets?
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2007
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 48
IS - 4
SP - 623
EP - 630
AB - We study the problem in the title and show that it is equivalent to the fact that every set of reals is an increasing union of measurable sets. We also show the relationship of it with Sierpi'nski sets.
LA - eng
KW - Sierp'nski set; null sets; random forcing; rational perfect set forcing; Miller forcing; Sierpiński set; null sets; random forcing; rational perfect set forcing; Miller forcing
UR - http://eudml.org/doc/250209
ER -
References
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