Bulletin of Symbolic Logic

The graph-theoretic approach to descriptive set theory

Benjamin D. Miller

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Abstract

We sketch the ideas behind the use of chromatic numbers in establishing descriptive set-theoretic dichotomy theorems.

Article information

Source
Bull. Symbolic Logic Volume 18, Issue 4 (2012), 554-575.

Dates
First available in Project Euclid: 13 November 2012

Permanent link to this document
http://projecteuclid.org/euclid.bsl/1352802981

Digital Object Identifier
doi:10.2178/bsl.1804030

Zentralblatt MATH identifier
06126492

Mathematical Reviews number (MathSciNet)
MR3053069

Subjects
Primary: 03E15: Descriptive set theory [See also 28A05, 54H05]
Secondary: 28A05: Classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets [See also 03E15, 26A21, 54H05]

Keywords
Colorings descriptive set theory dichotomy theorems

Citation

Miller, Benjamin D. The graph-theoretic approach to descriptive set theory. Bulletin of Symbolic Logic 18 (2012), no. 4, 554--575. doi:10.2178/bsl.1804030. http://projecteuclid.org/euclid.bsl/1352802981.


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