Regular cross sections of Borel flows

  • Konstantin Slutsky

    University of Illinois at Chicago, USA
Regular cross sections of Borel flows cover

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Abstract

Any free Borel flow is shown to admit a cross section with only two possible distances between adjacent points, answering an old question of Nadkarni. As an application of this result, we derive a short proof of the classification of Borel flows up to Lebesgue orbit equivalence.

Cite this article

Konstantin Slutsky, Regular cross sections of Borel flows. J. Eur. Math. Soc. 21 (2019), no. 7, pp. 1985–2050

DOI 10.4171/JEMS/879