On Kuratowski partitions in the Marczewski structure and Ellentuck topology

2017/06/27 by Frankiewicz, Ryszard, Jureczko, Joanna
#FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1706.08831

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.

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