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

• Autorzy: Gogi Pantsulaia
• Języki publikacji: EN

Abstrakty

EN

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,...).

Kategorie tematyczne

• 28Axx: Classical measure theory
• 28C20: Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
• 28A35: Measures and integrals in product spaces
• 28Cxx: Set functions and measures on spaces with additional structure

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2009
• Tom: 57
• Numer: 3
• Strony: 209-222

Daty

wydano

2009

Twórcy

autor

Gogi Pantsulaia

• Department of Mathematics, Georgian Technical University, Kostava St. 77, 0175 Tbilisi, Georgia

Identyfikatory

DOI

10.4064/ba57-3-3