Geodesic
A~Cofinal Family of Equivalence Relations and Borel Ideals Generating Them
Informatics and Automation, Geometric topology, discrete geometry, and set theory, Tome 252 (2006), pp. 94-113.

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An increasing $\omega _1$-sequence of Borel equivalence relations on a Polish space that is cofinal (in the sense of Borel reducibility) in the family of all Borel equivalence relations is defined as a development of Rosendal's construction. It is proved that equivalence relations from this sequence are generated by explicitly defined Borel ideals. 
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V. G. Kanovei; V. A. Lyubetskii. A~Cofinal Family of Equivalence Relations and Borel Ideals Generating Them. Informatics and Automation, Geometric topology, discrete geometry, and set theory, Tome 252 (2006), pp. 94-113. http://geodesic.mathdoc.fr/item/TRSPY_2006_252_a9/

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