Geodesic
On products of Radon measures
Fundamenta Mathematicae, Tome 159 (1999) no. 1, pp. 71-84.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $X = [0,1]^Γ$ with card Γ ≥ c (c denotes the continuum). We construct two Radon measures μ,ν on X such that there exist open subsets of X × X which are not measurable for the simple outer product measure. Moreover, these measures are strikingly similar to the Lebesgue product measure: for every finite F ⊆ Γ, the projections of μ and ν onto $[0,1]^F$ are equivalent to the F-dimensional Lebesgue measure. We generalize this construction to any compact group of weight ≥ c, by replacing the Lebesgue product measure with the Haar measure.
DOI : 10.4064/fm_1999_159_1_1_71_84

C. Gryllakis 1 ; S. Grekas 1

1 
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C. Gryllakis; S. Grekas. On products of Radon measures. Fundamenta Mathematicae, Tome 159 (1999) no. 1, pp. 71-84. doi : 10.4064/fm_1999_159_1_1_71_84. http://geodesic.mathdoc.fr/articles/10.4064/fm_1999_159_1_1_71_84/

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