Two ideals connected with strong right upper porosity at a point

Abstract

Let $SP$ be the set of upper strongly porous at $0$ subsets of ${\mathbb{R}}^{+}$ and let $\hat{I}(SP)$ be the intersection of maximal ideals $I\subseteq SP$. Some characteristic properties of sets $E\in \hat{I}(SP)$ are obtained. It is shown that the ideal generated by the so-called completely strongly porous at $0$ subsets of ${\mathbb{R}}^{+}$ is a proper subideal of $\hat{I}(SP).$

18 pages