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On Ordinary and Standard Lebesgue Measures on ℝ ∞

Gogi Pantsulaia — 2009

Bulletin of the Polish Academy of Sciences. Mathematics

New concepts of Lebesgue measure on ℝ ∞ are proposed and some of their realizations in the ZFC theory are given. Also, it is shown that Baker’s both measures [1], [2], Mankiewicz and Preiss-Tišer generators [6] and the measure of [4] are not α-standard Lebesgue measures on ℝ ∞ for α = (1,1,...).

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