Strong Measure Zero Sets Without Cohen Reals

نویسندگان

  • Martin Goldstern
  • Haim Judah
  • Saharon Shelah
چکیده

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 Publication 438

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عنوان ژورنال:
  • J. Symb. Log.

دوره 58  شماره 

صفحات  -

تاریخ انتشار 1993