Archive for Mathematical Logic 44 (4):425-434 (2005)

Abstract
.In this paper we prove that it is consistent that every γ-set is countable while not every strong measure zero set is countable. We also show that it is consistent that every strong γ-set is countable while not every γ-set is countable. On the other hand we show that every strong measure zero set is countable iff every set with the Rothberger property is countable.
Keywords γ-set  Hechler forcing  Laver forcing  Strong measure zero set
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DOI 10.1007/s00153-004-0260-0
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Adjoining Dominating Functions.James E. Baumgartner & Peter Dordal - 1985 - Journal of Symbolic Logic 50 (1):94-101.

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