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Two ideals connected with strong right upper porosity at a point (1405.2719v1)

Published 12 May 2014 in math.CA

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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