In mathematical logic, descriptive set theory (DST) is the study of certain classes of "well-behaved" subsets of the real line and other Polish spaces.

There have been two major developments in Descriptive Set Theory since 1980 which have fundamentally changed the subject. One is the establishment of a robust connection between …

Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced approach, which combines many …

This gave rise to descriptive set theory, a systematic study of classes of sets where these pathologies can be avoided, including, in particular, the definable sets.

2023年3月26日 · The branch of set theory whose subject is the study of sets in dependence of those operations by which these sets may be constructed from relatively simple sets (e.g. …

Descriptive set theory / Yiannis N. Moschovakis. – 2nd ed. p. cm. — (Mathematical surveys and monographs ; v. 155) Includes bibliographical references and index.

Early descriptive set theorists, Sierpinski, Luzin, Suslin, Kuratowski, Borel, Baire, and Lebesgue, were concerned with questions about the regularity of projective sets of reals.

\Descriptive Set Theory is the de nability theory of the continuum." \The roots of Descriptive Set Theory go back to the work of Borel, Baire, and Lebesgue around the turn of the 20th century, …

What is descriptive set theory, and why study it? 1. Descriptive set theory is where topology meets mathematical logic. It consists of the study of the complexity of sets of real numbers. 2. DST …

Descriptive set theory is the study of subsets of the real line and, more generally, subsets of Polish spaces. It begins with the study of pointclasses in the Borel hierarchy and extends to …