Strongly meager and strong measure zero sets
نویسندگان
چکیده
منابع مشابه
Finite Powers of Strong Measure Zero Sets
In a previous paper – [17] – we characterized strong measure zero sets of reals in terms of a Ramseyan partition relation on certain subspaces of the Alexandroff duplicate of the unit interval. This framework gave only indirect access to the relevant sets of real numbers. We now work more directly with the sets in question, and since it costs little in additional technicalities, we consider the...
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If ZFC is consistent, then each of the following are consistent with ZFC + 20 = א2: 1. X ⊆ IR is of strong measure zero iff |X| ≤ א1 + there is a generalized Sierpinski set. 2. The union of א1 many strong measure zero sets is a strong measure zero set + there is a strong measure zero set of size א2. 1 The authors thank the Israel Foundation for Basic Research, Israel Academy of Science. 2 Publi...
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ژورنال
عنوان ژورنال: Archive for Mathematical Logic
سال: 2002
ISSN: 0933-5846,1432-0665
DOI: 10.1007/s001530000068