Cardinal invariants of the continuum — A survey

نویسنده

  • Jörg Brendle
چکیده

These are expanded notes of a series of two lectures given at the meeting on axiomatic set theory at Kyōto University in November 2000. The lectures were intended to survey the state of the art of the theory of cardinal invariants of the continuum, and focused on the interplay between iterated forcing theory and cardinal invariants, as well as on important open problems. To round off the present written account of this survey, we also include sections on ZFC–inequalities between cardinal invariants, and on applications outside of set theory. However, due to the sheer size of the area, proofs had to be mostly left out. While being more comprehensive than the original talks, the personal flavor of the latter is preserved in the notes. Some of the material included was presented in talks at other conferences. ∗Supported by Grant–in–Aid for Scientific Research (C)(2)12640124, Japan Society for the Promotion of Science

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تاریخ انتشار 2004