Set Theory: With an Introduction to Descriptive Set Theory (Studies in Logic and the Foundations of Mathematics, Volume 86)

8vo (23 cm), XIVII, 514 pp. Publisher's cloth (dj slightly stained and rubbed at extremities). Second, completely revised edition. This seminal work by prominent Polish mathematicians serves as an invaluable resource for both students and researchers seeking to delve into the intricate structures and principles underlying modern mathematics. The authors intended to present the basic results of abstract set theory in the traditional order: algebra of sets, theory of cardinals, ordering and well-ordering of sets. The main field in which set-theoretical methods are illustrated is general topology. Through clear exposition and rigorous analysis, the authors elucidate fundamental notions such as sets, functions, and relations, while also delving into more advanced topics including cardinal and ordinal numbers, transfinite induction, and the axiom of choice. Additionally, the text offers a detailed introduction to descriptive set theory, offering insights into the classification and structure of sets of real numbers.