This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics, such as abstract geometry, real analysis, and, in some cases, topology and algebra. These methods include transfinite induction, Zorn's Lemma, the Continuum Hypothesis, Martin's Axiom, the Diamond Principle and elements of forcing. Written primarily as a text for beginning graduate or advanced level undergraduate students, this book should also interest researchers wanting to learn more about set theoretical techniques applicable to their fields.
Set Theory for the Working Mathematician
Cambridge University Press