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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 252, Pages 94–113 (Mi tm65)  
A Cofinal Family of Equivalence Relations and Borel Ideals Generating Them

V. G. Kanovei, V. A. Lyubetskii

Institute for Information Transmission Problems, Russian Academy of Sciences
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Abstract: 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.
Received in December 2004
English version:
Proceedings of the Steklov Institute of Mathematics, 2006, Volume 252, Pages 85–103
DOI: https://doi.org/10.1134/S008154380601010X
Bibliographic databases:
UDC: 510.225
Language: Russian
Citation: V. G. Kanovei, V. A. Lyubetskii, “A Cofinal Family of Equivalence Relations and Borel Ideals Generating Them”, Geometric topology, discrete geometry, and set theory, Collected papers, Trudy Mat. Inst. Steklova, 252, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 94–113; Proc. Steklov Inst. Math., 252 (2006), 85–103
Citation in format AMSBIB
\Bibitem{KanLyu06}
\by V.~G.~Kanovei, V.~A.~Lyubetskii
\paper A~Cofinal Family of Equivalence Relations and Borel Ideals Generating Them
\inbook Geometric topology, discrete geometry, and set theory
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2006
\vol 252
\pages 94--113
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm65}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2255972}
\zmath{https://zbmath.org/?q=an:1351.37015}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2006
\vol 252
\pages 85--103
\crossref{https://doi.org/10.1134/S008154380601010X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746072961}
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