On Ordinary and Standard Lebesgue Measures on ${ℝ}^{\infty }$

Gogi Pantsulaia. "On Ordinary and Standard Lebesgue Measures on $ℝ^{∞}$." Bulletin of the Polish Academy of Sciences. Mathematics 57.3 (2009): 209-222. <http://eudml.org/doc/281217>.

@article{GogiPantsulaia2009,
abstract = {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,...).},
author = {Gogi Pantsulaia},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {infinite-dimensional Lebesgue measure; standard Lebesgue measure},
language = {eng},
number = {3},
pages = {209-222},
title = {On Ordinary and Standard Lebesgue Measures on $ℝ^\{∞\}$},
url = {http://eudml.org/doc/281217},
volume = {57},
year = {2009},
}

TY - JOUR
AU - Gogi Pantsulaia
TI - On Ordinary and Standard Lebesgue Measures on $ℝ^{∞}$
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2009
VL - 57
IS - 3
SP - 209
EP - 222
AB - 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,...).
LA - eng
KW - infinite-dimensional Lebesgue measure; standard Lebesgue measure
UR - http://eudml.org/doc/281217
ER -