So far we have seen that Cohen forcing adds unbounded as well as splitting reals, but not dominating reals (see Chapter 22), and that Silver forcing adds splitting reals but not unbounded reals (see Chapter 24). Furthermore, it was mentioned that Sacks forcing adds neither splitting nor unbounded reals (see Chapter 24 | RELATED RESULT 162).

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Miller Forcing

  • Lorenz J. Halbeisen

摘要

So far we have seen that Cohen forcing adds unbounded as well as splitting reals, but not dominating reals (see Chapter 22), and that Silver forcing adds splitting reals but not unbounded reals (see Chapter 24). Furthermore, it was mentioned that Sacks forcing adds neither splitting nor unbounded reals (see Chapter 24 | RELATED RESULT 162).