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January 2020 Canonization of Smooth Equivalence Relations on Infinite-Dimensional E0-Large Products
Vladimir Kanovei, Vassily Lyubetsky
Notre Dame J. Formal Logic 61(1): 117-128 (January 2020). DOI: 10.1215/00294527-2019-0034

Abstract

We propose a canonization scheme for smooth equivalence relations on Rω modulo restriction to E0-large infinite products. It shows that, given a pair of Borel smooth equivalence relations E, F on Rω, there is an infinite E0-large perfect product PRω such that either FE on P, or, for some <ω, the following is true for all x,yP: xEy implies x()=y(), and x(ω{})=y(ω{}) implies xFy.

Citation

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Vladimir Kanovei. Vassily Lyubetsky. "Canonization of Smooth Equivalence Relations on Infinite-Dimensional E0-Large Products." Notre Dame J. Formal Logic 61 (1) 117 - 128, January 2020. https://doi.org/10.1215/00294527-2019-0034

Information

Received: 28 April 2018; Accepted: 26 November 2018; Published: January 2020
First available in Project Euclid: 12 December 2019

zbMATH: 07196094
MathSciNet: MR4054247
Digital Object Identifier: 10.1215/00294527-2019-0034

Subjects:
Primary: 03E15
Secondary: 03E35

Rights: Copyright © 2020 University of Notre Dame

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Vol.61 • No. 1 • January 2020
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