Lacunary sections for locally compact groupoids

Details Lacunary sections for locally compact groupoids Lacunary sections for locally compact groupoids

1996-02-02

arxiv.org/abs/math/9602218v1

Ergodic Theory Dynam. Systems 17 (1997), 933--94

Mathematics

Functional Analysis

12 pages

Scientific paper

It is proved that every second countable locally Hausdorff and locally
compact continuous groupoid has a Borel set of units that meets every orbit
and is what is called "lacunary," a property that implies that the
intersection with every orbit is countable.

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