Remarks on the Ostrovsky's Theorem
General Topology
2018-02-27 v1
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.
Cite
@article{arxiv.1802.08889,
title = {Remarks on the Ostrovsky's Theorem},
author = {Alexander V. Osipov},
journal= {arXiv preprint arXiv:1802.08889},
year = {2018}
}
Comments
4 pages