On Kuratowski partitions
Logic
2017-06-28 v1
Abstract
In 1935 K. Kuratowski posed the problem whether a function f:X ! Y , (X is completely metrizable and Y is metrizable), with the property that a preimage of each open has the Baire property, is continuous apart from a meager set. This paper is a selection of older results related to the question posed by Kuratowski in 1935, coming from among others Solovay and Bukovsk?y, and quite new ones concerning considerations in Ellentuck topology and some propertiesof K-ideals, (i.e. ideals associated with Kuratowski partitions).
Cite
@article{arxiv.1706.08864,
title = {On Kuratowski partitions},
author = {Ryszard Frankiewicz and Joanna Jureczko},
journal= {arXiv preprint arXiv:1706.08864},
year = {2017}
}