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On Kuratowski partitions in the Marczewski structure and Ellentuck topology

Published 27 Jun 2017 in math.LO | (1706.08831v2)

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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