Descriptive Set Theory And Dynamical Systems
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Descriptive Set Theory and Dynamical Systems
Author: M. Foreman
language: en
Publisher: Cambridge University Press
Release Date: 2000-05-25
In recent years there has been a growing interest in the interactions between descriptive set theory and various aspects of the theory of dynamical systems, including ergodic theory and topological dynamics. This volume, first published in 2000, contains a collection of survey papers by leading researchers covering a wide variety of recent developments in these subjects and their interconnections. This book provides researchers and graduate students interested in either of these areas with a guide to work done in the other, as well as with an introduction to problems and research directions arising from their interconnections.
Classical Descriptive Set Theory
Author: Alexander Kechris
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
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 elements of the different traditions of the subject. It includes a wide variety of examples, exercises (over 400), and applications, in order to illustrate the general concepts and results of the theory. This text provides a first basic course in classical descriptive set theory and covers material with which mathematicians interested in the subject for its own sake or those that wish to use it in their field should be familiar. Over the years, researchers in diverse areas of mathematics, such as logic and set theory, analysis, topology, probability theory, etc., have brought to the subject of descriptive set theory their own intuitions, concepts, terminology and notation.
Descriptive Set Theory and Dynamical Systems
This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.