Abstract
Subject to the continuum hypothesis, the Haar measure on a compact group of topological weight ⩽χ2 admits a Baire strong lifting.
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References
Bourbaki, N.: Integration. Chs. 1–8. Paris: Hermann. 1959–1967.
Choksi, J. R.: Recent developments arising out of Kakutani's work on completion regularity of measures. Contemp. Math.26, 81–94 (1984).
Fremlin, D. H.: On two theorems of Mokobodzki. Note of 26/6/77.
Kupka, J., Prikry, K.: Translation invariant Borel liftings hardly even exist. Indiana J. Math.32, 717–731 (1983).
Losert, V.: A counterexample on measurable selections and strong lifting. In: Kölzow, D. (ed.) Measure Theory Oberwolfach 1979, 153–159. Berlin-Heidelberg-New York: Springer. 1980 (Lecture Notes Mathematics, 794).
Montgomery, D., Zippin, L.: Topological Transformation Groups. New York: Interscience. 1955.
Ionescu Tulcea, A., C.: On the existence of a lifting commuting with the left translations of an arbitrary locally compact group. Proc. Fifth Berk. Symp. Math. Stat. and Prob. Vol. 2, Part 1. pp. 13–97.