On Kuratowski partitions in the Marczewski structure and Ellentuck topology
Logic
2017-11-08 v2
Abstract
We show that large sets in Ellentuck topology (i.e. sets which are not nowhere Ramsey) do not admit Kuratowski's partition. The similar result is true for the Sacks real forcing.
Cite
@article{arxiv.1706.08831,
title = {On Kuratowski partitions in the Marczewski structure and Ellentuck topology},
author = {Ryszard Frankiewicz and Joanna Jureczko},
journal= {arXiv preprint arXiv:1706.08831},
year = {2017}
}