English

Further cardinal arithmetic

Logic 2016-09-06 v1

Abstract

We continue the investigations in the author's book on cardinal arithmetic, assuming some knowledge of it. We deal with the cofinality of (S_{<= aleph_0}(kappa), subseteq) for kappa real valued measurable (Section 3), densities of box products (Section 5,3), prove the equality cov(lambda, lambda, theta^+,2)=pp(lambda) in more cases even when cf(lambda)= aleph_0 (Section 1), deal with bounds of pp(lambda) for lambda limit of inaccessible (Section 4) and give proofs to various claims I was sure I had already written but did not find (Section 6).

Keywords

Cite

@article{arxiv.math/9610226,
  title  = {Further cardinal arithmetic},
  author = {Saharon Shelah},
  journal= {arXiv preprint arXiv:math/9610226},
  year   = {2016}
}