Geodesic
On Ordinary and Standard Lebesgue Measures on $\mathbb{R}^{\infty}$
Gogi Pantsulaia1
1 Department of Mathematics Georgian Technical University Kostava St. 77 0175 Tbilisi, Georgia
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) no. 3, pp. 209-222.

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

New concepts of Lebesgue measure on $\mathbb{R}^{\infty}$ 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 $\alpha$-standard Lebesgue measures on $\mathbb{R}^{\infty}$ for $\alpha=(1,1,\ldots)$.
DOI : 10.4064/ba57-3-3
Keywords: concepts lebesgue measure mathbb infty proposed their realizations zfc theory given shown bakers measures mankiewicz preiss generators measure alpha standard lebesgue measures mathbb infty alpha ldots

Gogi Pantsulaia 1

1 Department of Mathematics Georgian Technical University Kostava St. 77 0175 Tbilisi, Georgia 
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Gogi Pantsulaia. On Ordinary and Standard Lebesgue Measures on $\mathbb{R}^{\infty}$. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) no. 3, pp. 209-222. doi : 10.4064/ba57-3-3. http://geodesic.mathdoc.fr/articles/10.4064/ba57-3-3/

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