Convergence in measure through compactifications

Eliza Wajch

Convergence in measure through compactifications

Publication date: 14.12.2016

Technical Transactions, 2016, Fundamental Sciences Issue 1-NP 2016, pp. 137 - 145

https://doi.org/10.4467/2353737XCT.16.147.5758

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Convergence in measure through compactifications

Abstract

For a metrizable space X, concepts of metric convergence in measure and of functional convergence in measure of sequences of measurable mappings taking their values in X are introduced and applied to a comparison of compactifications of X.

Keywords

Metrizable space, Hausdorff compactification, mimimum uniform compactification, infinite σ-finite measure, metric convergence in measure, functional convergence in measure

References

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Information: Technical Transactions, 2016, Fundamental Sciences Issue 1-NP 2016, pp. 137 - 145

DOI: https://doi.org/10.4467/2353737XCT.16.147.5758

Article type: Original article

Titles:

Polish:

Convergence in measure through compactifications

English:

Convergence in measure through compactifications

Authors

Eliza Wajch

Institute Mathematics, University of Siedlce
Poland

Published at: 14.12.2016

Article status: Open

Licence: None

Percentage share of authors:

Eliza Wajch (Author) - 100%

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English

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