Descriptive Set Theory (Studies in Logic and the Foundations of Mathematics Volume 100)

Moschovakis, Yiannis Nicholas

ISBN 10: 0444853057 / ISBN 13: 9780444853059

Published by North-Holland Publishing, 1980

About this Item

This book has an old paper price sticker on the back cover, rubbing and surface scratching to both covers that has resulted in slight color loss most notable on the back cover, sunfading to the spine and 1/2 inch of the front cover closest to the spine, shelfwear to the edges and corners of the covers and pages, gently bumped corners, mild cracks in the binding at the hinges, and few faint creases to the covers, otherwise this book is in good condition with crisp, unmarked pages and a tight binding.

Seller Inventory # 993337

Bibliographic Details

• Title: Descriptive Set Theory (Studies in Logic and the Foundations of Mathematics Volume 100)
• Publisher: North-Holland Publishing
• Publication Date: 1980
• Language: English
• ISBN 10: 0444853057
• ISBN 13: 9780444853059
• Binding: Paperback
• Condition: Good
• Seller catalogs:
  • Science Box

About this title

Synopsis

Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and so can be expected to have special properties not enjoyed by arbitrary pointsets. This subject was started by the French analysts at the turn of the 20th century, most prominently Lebesgue, and, initially, was concerned primarily with establishing regularity properties of Borel and Lebesgue measurable functions, and analytic, coanalytic, and projective sets. Its rapid development came to a halt in the late 1930s, primarily because it bumped against problems which were independent of classical axiomatic set theory. The field became very active again in the 1960s, with the introduction of strong set-theoretic hypotheses and methods from logic (especially recursion theory), which revolutionized it. This monograph develops Descriptive Set Theory systematically, from its classical roots to the modern ``effective'' theory and the consequences of strong (especially determinacy) hypotheses. The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results (established since the 1980s) relating large cardinals and determinacy or allowing applications of Descriptive Set Theory to classical mathematics. The book includes all the necessary background from (advanced) set theory, logic and recursion theory.