Download or read book Ideals over Uncountable Sets: Application of Almost Disjoint Functions and Generic Ultrapowers written by Thomas J. Jech and published by American Mathematical Soc.. This book was released on 1979 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is a systematic study of ideals over uncountable sets. In particular, we investigate the role of various properties of ideals in arithmetic of cardinal numbers. We also study consequences of existence of precipitous ideals for the generalized continuum hypothesis and the singular cardinals problem.