Stable Kneser hypergraphs and ideals in ℕ with the Nikodym property

Abstract

We use stable Kneser hypergraphs to construct ideals in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper N"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">N</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\mathbb {N}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> which are not nonatomic yet have the Nikodým property.