On Ordinary and Standard Lebesgue Measures on ℝ∞
Gogi Pantsulaia
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009), p. 209-222 / Harvested from The Polish Digital Mathematics Library
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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,...).

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:281217 
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     volume = {57},
     year = {2009},
     pages = {209-222},
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Gogi Pantsulaia. On Ordinary and Standard Lebesgue Measures on $ℝ^{∞}$
            . Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) pp. 209-222. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-3-3/