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arXiv · 1405.2719

Two ideals connected with strong right upper porosity at a point

V. Bilet·O. Dovgoshey·J. Prestin
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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 $\hat I(SP).$

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V. Bilet, O. Dovgoshey, J. Prestin. 2014-05-12. Two ideals connected with strong right upper porosity at a point. https://arxiv.org/abs/1405.2719

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