Extensions of the first Borel-Cantelli Lemma in Riesz spaces
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Date
2018
Authors
Mushambi, Nyasha Takunda
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Abstract
The classical First and Second Borel-Cantelli theorems as well as the
Kolmogorov Zero-One Laws have been extended to the abstract setting of
Riesz spaces by Wen-Chi Kuo, Coenraad C. A. Labuschagne and Bruce A.
Watson. This dissertation aims to extend upon the work of these authors. In
particular, an extension of the Barndorff-Nielsen Zero-One Law to the Riesz
space setting.
Description
A dissertation submitted to the Faculty of Science, University of the Witwatersrand, in fulfilment of the requirements for the degree of Master of Science, February 2018
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Citation
Mushambi, Nyasa Takunda, (2018) Extension of the first Borel-Cantelli Lemma in Riesz spaces, University of the Witwatersrand, Johannesburg, https://hdl.handle.net/10539/24929.