The null ideal restricted to some non-null set may be ℵ₁-saturated
Saharon Shelah
Fundamenta Mathematicae, Tome 177 (2003), p. 97-129 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:283360 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm179-2-1,
     author = {Saharon Shelah},
     title = {The null ideal restricted to some non-null set may be 1-saturated},
     journal = {Fundamenta Mathematicae},
     volume = {177},
     year = {2003},
     pages = {97-129},
     zbl = {1049.03038},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm179-2-1}
}

Saharon Shelah. The null ideal restricted to some non-null set may be ℵ₁-saturated. Fundamenta Mathematicae, Tome 177 (2003) pp. 97-129. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm179-2-1/