Genre
- Journal Article
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.
BURKE, MR, UNIV PRINCE EDWARD ISL,DEPT MATH & COMP SCI,CHARLOTTETOWN C1A 4P3,PEI,CANADA.
PROVIDENCE; 201 CHARLES ST, PROVIDENCE, RI 02940-2213
AMER MATHEMATICAL SOC
PT: J; CR: BURKE MR, IN PRESS ISRAEL J MA BURKE MR, 1991, ISRAEL J MATH, V73, P33 CHRISTENSEN JPR, 1974, TOPOLOGY BOREL STRUC HALMOS PR, 1974, MEASURE THEORY HEWITT E, 1979, ABSTRACT HARMONIC AN, V1 IONESCUTULCEA A, 1965, 5TH P BERK S MATH ST, V2 IONESCUTULCEA A, 1967, CONTRIBUTIONS PROB 1, P63 IONESCUTULCEA A, 1969, TOPICS THEORY LIFTIN JOHNSON RA, 1980, P AM MATH SOC, V80, P234 JUST W, 1992, T AM MATH SOC, V329, P325 KUPKA J, 1983, INDIANA U MATH J, V32, P717 KURATOWSKI K, 1966, TOPOLOGY, V1 LOSERT V, 1984, LECT NOTES MATH, V1080, P95 MAHARAM D, 1958, P AM MATH SOC, V9, P987 OXTOBY JC, 1971, MEASURE CATEGORY SHELAH S, 1983, ISRAEL J MATH, V45, P90 SOLOVAY RM, 1970, ANN MATH, V92, P1 TALAGRAND M, 1982, P AM MATH SOC, V84, P379 WHITE HE, 1975, P AM MATH SOC, V50, P477; NR: 19; TC: 0; J9: PROC AMER MATH SOC; PG: 8; GA: KT226
Source type: Electronic(1)
Language
- English
Subjects
- Mathematics
- Mathematics, Applied