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math.FA2026
The sup-inf-completion of a Dedekind complete vector lattice
Eder Kikianty, Luan Naude, Mark Roelands +1
We introduce the sup-inf-completion of a Dedekind complete vector lattice, an essentially unique extension in which every nonempty subset has both a supremum and an infimum. Since…
math.FA2026
The Riemann integral on Dedekind complete -algebras
Eder Kikianty, Luan Naude, Mark Roelands +1
In this paper we develop a theory of integration for locally band preserving functions, introduced by Ercan and Wickstead, on Dedekind complete -algebras. Specifically, we const…