Strong measure zero sets without Cohen reals

Details Strong measure zero sets without Cohen reals Strong measure zero sets without Cohen reals

1993-06-15

arxiv.org/abs/math/9306214v1

J. Symbolic Logic 58 (1993), 1323--1341

Mathematics

Logic

Scientific paper

If ZFC is consistent, then each of the following are consistent with ZFC + 2^{{aleph_0}}= aleph_2 : 1.) X subseteq R is of strong measure zero iff |X| <= aleph_1 + there is a generalized Sierpinski set. 2.) The union of aleph_1 many strong measure zero sets is a strong measure zero set + there is a strong measure zero set of size aleph_2.

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