# Wydawnictwa / Czasopisma IMPAN / Fundamenta Mathematicae / Wszystkie zeszyty

## The null ideal restricted to some non-null set may be $\aleph _1$-saturated

### Tom 179 / 2003

Fundamenta Mathematicae 179 (2003), 97-129 MSC: 03E35, 03E55, 03E19. DOI: 10.4064/fm179-2-1

#### Streszczenie

Our main result is that possibly some non-null set of reals cannot be divided into uncountably many non-null sets. We also deal with a non-null set of real, the graph of any function from which is null, and deal with our iterations somewhat more generally.

#### Autorzy

• Saharon ShelahEinstein Institute of Mathematics
Edmond J. Safra Campus
The Hebrew University of Jerusalem
Givat Ram, Jerusalem 91904, Israel
and
Department of Mathematics
Hill Center-Busch Campus
Rutgers, The State University of New Jersey