Geodesic
Borel and Baire reducibility
Fundamenta Mathematicae, Tome 164 (2000) no. 1, pp. 61-69 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that a Borel equivalence relation is classifiable by countable structures if and only if it is Borel reducible to a countable level of the hereditarily countable sets. We also prove the following result which was originally claimed in [FS89]: the zero density ideal of sets of natural numbers is not classifiable by countable structures.
DOI : 10.4064/fm-164-1-61-69

Harvey M. Friedman 1

1 
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Harvey M. Friedman. Borel and Baire reducibility. Fundamenta Mathematicae, Tome 164 (2000) no. 1, pp. 61-69. doi: 10.4064/fm-164-1-61-69

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