Strolling through Paradise
نویسنده
چکیده
With each of the classical tree–like forcings adjoining a new real, one can associate a σ– ideal on the reals in a natural way. For example, the ideal of Marczewski null sets s corresponds to Sacks forcing S, while the ideal of nowhere Ramsey sets r corresponds to Mathias forcing R. We show (in ZFC) that none of these ideals is included in any of the others. We also discuss Mycielski’s ideal P2, and start an investigation of the covering numbers of these ideals. 1991 Mathematics subject classification. 03E05 03E35 03E40
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With each of the classical tree-like forcings adjoining a new real, one can associate a σ-ideal on the reals in a natural way. For example, the ideal s0 of Marczewski null sets corresponds to Sacks forcing S, while the ideal r0 of nowhere Ramsey sets corresponds to Mathias forcing R. We show (in ZFC) that none of these ideals is included in any of the others. We also discuss Mycielski’s ideal P...
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تاریخ انتشار 1995