Mushambi, Nyasha Takunda2018-07-122018-07-122018Mushambi, Nyasa Takunda, (2018) Extension of the first Borel-Cantelli Lemma in Riesz spaces, University of the Witwatersrand, Johannesburg, https://hdl.handle.net/10539/24929.https://hdl.handle.net/10539/24929A dissertation submitted to the Faculty of Science, University of the Witwatersrand, in fulfilment of the requirements for the degree of Master of Science, February 2018The 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.Online resource (66 pages)enProbabilitiesMeasure theoryMathematical statisticsThesis