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.
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| Keywords | γ-set Hechler forcing Laver forcing Strong measure zero set |
| Categories | (categorize this paper) |
| Reprint years | 2005 |
| ISBN(s) | |
| DOI | 10.1007/s00153-004-0260-0 |
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References found in this work BETA
Adjoining Dominating Functions.James E. Baumgartner & Peter Dordal - 1985 - Journal of Symbolic Logic 50 (1):94-101.
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