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Lacunary sections for locally compact groupoids

Published online by Cambridge University Press:  02 April 2001

ARLAN RAMSAY
ARLAN RAMSAY
Affiliation:
Department of Mathematics, CB395, University of Colorado, Boulder, CO 80309-0395, USA
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Abstract

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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 4 , August 1997 , pp. 933 - 940
Copyright
© 1997 Cambridge University Press

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