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Descriptive Dynamics

Kechris, Alexander S. (2000) Descriptive Dynamics. In: Descriptive set theory and dynamical systems. London Mathematical Society lecture note series. No.277. Cambridge University Press , New York, pp. 231-258. ISBN 9780521786447. https://resolver.caltech.edu/CaltechAUTHORS:20130731-144914781

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Abstract

The purpose of the following informal lectures is to give a brief introduction to descriptive dynamics, which I understand here to be the descriptive theory of Polish group actions. I will concentrate on the foundations, and hopefully at a level accessible to anyone with a basic knowledge of descriptive set theory. I will illustrate some of the main methods used in this area, including Baire category arguments and various implementations of the "changing the topology" technique. A general reference for the results discussed in this paper is Becker-Kechris [1996].


Item Type:Book Section
Additional Information:© 2000 Cambridge University Press. This paper is based on the text of a series of lectures that I was scheduled to give at the International Workshop on Descriptive Set Theory and Dynamical Systems, CIRM, Luminy, July 1-5, 1996. Unfortunately, at the last moment, a family emergency prevented me from attending the meeting, but A. Louveau has kindly stepped in and delivered these lectures. (Except for Lecture IV for which there was not sufficient time.) I would like to thank him for taking over this, despite his heavy load of duties during this meeting. Research and preparation of this paper were partially supported by NSF Grant DMS 96-19880.
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NSFDMS 96-19880
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MathSciNet Review1774428
Series Name:London Mathematical Society lecture note series
Issue or Number:277
Record Number:CaltechAUTHORS:20130731-144914781
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130731-144914781
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:39684
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Sep 2013 19:53
Last Modified:03 Oct 2019 05:09

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