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- W3158039265 abstract "Every Dedekind complete Riesz space X has a unique sup-completion X^{s}, which is a Dedekind complete lattice cone. This paper aims to present a systematic study this cone by extending several known results to general setting, proving new results and, in particular, introducing for elements of X^{s} finite and infinite parts. This enuables us to get a satisfactory abstract formulation of some classical results in the setting of Riesz spaces. We prove, in pareticular, a Riesz space version of Borel-Cantelli Lemma and present some applications to it.29*" @default.
- W3158039265 created "2021-05-10" @default.
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- W3158039265 date "2021-04-28" @default.
- W3158039265 modified "2023-09-26" @default.
- W3158039265 title "The sup-completion of a Dedekind complete vector lattice" @default.
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