Published June 2000
| Published
Book Section - Chapter
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Descriptive Dynamics
- Creators
-
Kechris, Alexander S.
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].
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.Attached Files
Published - Kechris_2000p231.pdf
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Kechris_2000p231.pdf
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Additional details
- Eprint ID
- 39684
- Resolver ID
- CaltechAUTHORS:20130731-144914781
- DMS 96-19880
- NSF
- Created
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2013-09-19Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field
- Series Name
- London Mathematical Society lecture note series
- Series Volume or Issue Number
- 277
- Other Numbering System Name
- MathSciNet Review
- Other Numbering System Identifier
- 1774428