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Two ideals connected with strong right upper porosity at a point

Viktoriia Bilet, Oleksiy Dovgoshey, Jürgen Prestin (2015)

Czechoslovak Mathematical Journal

Let SP be the set of upper strongly porous at 0 subsets of + and let I ^ ( SP ) be the intersection of maximal ideals I SP . Some characteristic properties of sets E I ^ ( SP ) are obtained. We also find a characteristic property of the intersection of all maximal ideals contained in a given set which is closed under subsets. It is shown that the ideal generated by the so-called completely strongly porous at 0 subsets of + is a proper subideal of I ^ ( SP ) . Earlier, completely strongly porous sets and some of their properties were...

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