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arXiv · 2005.07912

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

Miguel A. Cardona
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Abstract

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.

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Miguel A. Cardona. 2020-05-16. Cohen real or random real: effect on strong measure zero sets and strongly meager sets. https://arxiv.org/abs/2005.07912

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