Liftings and the property of Baire in locally compact groups
Burke, Maxim R.
Proceedings of the American Mathematical Society
Mathematics and Statistics
For each locally compact group G with Haar measure mu , we obtain the following results. The first is a version for group quotients of a classical result of Kuratowski and Ulam on first category subsets of the plane. The second is a strengthening of a theorem of Kupka and Prikry; we obtain it by a much simpler technique, building on work of Talagrand and Losert.