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 
@article{10_4064_ba57_3_3,
     author = {Gogi Pantsulaia},
     title = {On {Ordinary} and {Standard} {Lebesgue} {Measures} on $\mathbb{R}^{\infty}$},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {209--222},
     publisher = {mathdoc},
     volume = {57},
     number = {3},
     year = {2009},
     doi = {10.4064/ba57-3-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba57-3-3/}
}
TY  - JOUR
AU  - Gogi Pantsulaia
TI  - On Ordinary and Standard Lebesgue Measures on $\mathbb{R}^{\infty}$
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2009
SP  - 209
EP  - 222
VL  - 57
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba57-3-3/
DO  - 10.4064/ba57-3-3
LA  - en
ID  - 10_4064_ba57_3_3
ER  - 
%0 Journal Article
%A Gogi Pantsulaia
%T On Ordinary and Standard Lebesgue Measures on $\mathbb{R}^{\infty}$
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2009
%P 209-222
%V 57
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ba57-3-3/
%R 10.4064/ba57-3-3
%G en
%F 10_4064_ba57_3_3
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

Cité par Sources :