Journal of Symbolic Logic

Descriptive Set Theory Over Hyperfinite Sets

H. Jerome Keisler, Kenneth Kunen, Arnold Miller, and Steven Leth

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Abstract

The separation, uniformization, and other properties of the Borel and projective hierarchies over hyperfinite sets are investigated and compared to the corresponding properties in classical descriptive set theory. The techniques used in this investigation also provide some results about countably determined sets and functions, as well as an improvement of an earlier theorem of Kunen and Miller.

Article information

Source
J. Symbolic Logic, Volume 54, Issue 4 (1989), 1167-1180.

Dates
First available in Project Euclid: 6 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1183743097

Mathematical Reviews number (MathSciNet)
MR1026596

Zentralblatt MATH identifier
0701.03023

JSTOR
links.jstor.org

Citation

Keisler, H. Jerome; Kunen, Kenneth; Miller, Arnold; Leth, Steven. Descriptive Set Theory Over Hyperfinite Sets. J. Symbolic Logic 54 (1989), no. 4, 1167--1180. https://projecteuclid.org/euclid.jsl/1183743097


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