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New Directions in Descriptive Set Theory

Kechris, Alexander S. (1999) New Directions in Descriptive Set Theory. Bulletin of Symbolic Logic, 5 (2). pp. 161-174. ISSN 1079-8986. doi:10.2307/421088.

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I will start with a quick definition of descriptive set theory: It is the study of the structure of definable sets and functions in separable completely metrizable spaces. Such spaces are usually called Polish spaces. Typical examples are R^n, C^n, (separable) Hilbert space and more generally all separable Banach spaces, the Cantor space 2^N, the Baire space N^N, the infinite symmetric group S_∞, the unitary group (of the Hilbert space), the group of measure preserving transformations of the unit interval, etc.

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Additional Information:© 1999 Association for Symbolic Logic. Received October 11, 1998; revised April 14, 1999. This article is based on the Gödel Lecture given at the meeting of the Association for Symbolic Logic at Toronto in April 1998. Research and preparation for this paper were supported in part by NSF Grant DMS 96-19880.
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NSFDMS 96-19880
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Official Citation:New Directions in Descriptive Set Theory Alexander S. Kechris The Bulletin of Symbolic Logic , Vol. 5, No. 2 (Jun., 1999), pp. 161-174 Published by: Association for Symbolic Logic Article Stable URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38629
Deposited By: Ruth Sustaita
Deposited On:22 May 2013 17:19
Last Modified:09 Nov 2021 23:38

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