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arXiv · 2102.03287

Ideals with Smital properties

Marcin Michalski·Robert Rałowski·Szymon Żeberski
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Abstract

A $\sigma$-ideal $\mathcal{I}$ on a Polish group $(X,+)$ has Smital Property if for every dense set $D$ and a Borel $\mathcal{I}$-positive set $B$ the algebraic sum $D+B$ is a complement of a set from $\mathcal{I}$. We consider several variants of this property and study their connections with countable chain condition, maximality and how well they are preserved via Fubini products.

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Marcin Michalski, Robert Rałowski, Szymon Żeberski. 2021-02-05. Ideals with Smital properties. https://arxiv.org/abs/2102.03287

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