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## Fundamenta Mathematicae

1999 | 159 | 1 | 71-84
Tytuł artykułu

### On products of Radon measures

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
71-84
Opis fizyczny
Daty
wydano
1999
otrzymano
1997-09-12
Twórcy
autor
• Department of Mathematics, University of Athens, Panepistimiopolis 15784, Athens, Greece
autor
Bibliografia
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