Cardinal arithmetic for skeptics

Details Cardinal arithmetic for skeptics Cardinal arithmetic for skeptics

1992-01-15

arxiv.org/abs/math/9201251v1

Bull. Amer. Math. Soc. (N.S.) 26 (1992) 197-210

Mathematics

Logic

14 pages

Scientific paper

We present a survey of some results of the pcf-theory and their applications to cardinal arithmetic. We review basics notions (in section 1), briefly look at history in section 2 (and some personal history in section 3). We present main results on pcf in section 5 and describe applications to cardinal arithmetic in section 6. The limitations on independence proofs are discussed in section 7, and in section 8 we discuss the status of two axioms that arise in the new setting. Applications to other areas are found in section 9.

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