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- W2087662942 abstract "Abstract Let G be a compact topological group and let f : G → G be a continuous transformation of G . Define f * : G → G by f *( x ) = f ( x –1) x and let μ = μ G be Haar measure on G . Assume that H = Im f * is a subgroup of G and for every measurable C ⊆ H , μ G (( f *) –1 ( C )) = μ H ( C ). Then for every measurable C ⊆ G , there exist S ⊆ C and g ∈ G such that f ( Sg –1 ) ⊆ Cg –1 and μ( S ) ≥ (μ( C )) 2 ." @default.
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- W2087662942 date "2007-12-01" @default.
- W2087662942 modified "2023-09-26" @default.
- W2087662942 title "Transformations and Colorings of Groups" @default.
- W2087662942 doi "https://doi.org/10.4153/cmb-2007-062-0" @default.
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