arXiv:2005.07912 Abstract | arXiv Analytics

arXiv:2005.07912 [math.LO]Abstract References Reviews Resources

Cohen real or random real: effect on strong measure zero sets and strongly meager sets

Published 2020-05-16Version 1

We show that the set of the ground-model reals has strong measure zero (is strongly meager) after adding a single Cohen real (random real). As consequence we prove that the set of the ground-model reals has strong measure zero after adding a single Hechler real.

Categories: math.LO

Subjects: 03E05

Keywords: strong measure zero sets, strongly meager sets, random real, ground-model reals, single cohen real

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