Remarks on the Ostrovsky's Theorem

Alexander V. Osipov

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arXiv · 1802.08889

Remarks on the Ostrovsky's Theorem

Alexander V. Osipov

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Abstract

In this paper we prove that the condition one-to-one of continuous open-resolvable mapping is necessary in the Ostrovsky's Theorem. Also we get that the Ostrovsky's Problem (Is every open-LCn function between Polish spaces piecewise open for n = 2, 3, ... ?) has a negative solution for any n > 1.

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Alexander V. Osipov. 2018-02-24. Remarks on the Ostrovsky's Theorem. https://arxiv.org/abs/1802.08889

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