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Gamma-Compactification of Measurable Spaces |
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| Authors: | Zhdanok A I |
| Institution: | (1) Tyva State University, Kyzyl |
| Abstract: | We define the gamma-compactification of an arbitrary measurable space and study its structure and properties in the general and topological cases. We introduce and study the notion of gamma-extension of a singleton in a topological space. We consider the procedure of extension of finitely additive measures from the original space to regular countably additive measures on the gamma-compactification of the space. |
| Keywords: | compactification of measurable space compactification of topological space one-point compactification finitely additive measure purely finitely additive measure countably additive measure extension of measure |
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