an:05596005
Zbl 1199.28003
Gonz??lez-Hern??ndez, Juan; Hern??ndez-Hern??ndez, Fernando; Villarreal, C??sar E.
When is \(\mathbb R\) the union of an increasing family of null sets?
EN
Commentat. Math. Univ. Carol. 48, No. 4, 623-630 (2007).
00252603
2007
j
28A05 03E35
Sierpi??ski set; null sets; random forcing; rational perfect set forcing; Miller forcing
Summary: 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??ski sets.