On topological characterization of some properties of measures using Ocan typetopologies
Articles
Gintaras Praninskas
Klaipėda University
Published 2010-12-21
https://doi.org/10.15388/LMR.2010.14
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Keywords

topological space
σ-algebra
space of subsets
prolongement of measure
Radon and regular measures
Ocan type topologies on space of subsets

How to Cite

Praninskas, G. (2010) “On topological characterization of some properties of measures using Ocan typetopologies”, Lietuvos matematikos rinkinys, 51(proc. LMS), pp. 75–79. doi:10.15388/LMR.2010.14.

Abstract

In the article is given topological characterization of prolongement of measure from algebra A subsets
to σ-algebra subsets σ(A) as prolongement of measure as continuos function from space
of subsets A to space σ(A) in some Ocan type topology. The topological of Radon and regularity of measure
characterization using Ocan type topologies also is given.

O топологической характеристике некоторых свойств мер посредством очановских топологий

В статье дается топологическая характеристика продолжения меры, так же топологическая характеристика радоновости и регулярности мер на σ-алгебре Борелевских множеств топологического пространства посредством экспоненциальных топологий типа Очана.

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