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