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math.FA2025
A density version of a theorem of Banach
David A. Ross
The S-measure construction from nonstandard analysis is used to prove an extension of a result on the intersection of sets in a finitely-additive measure space. This is then used t…
math.FA2024
Linear equations and multiplicative polynomial equations in infinitely many variables
Melvyn B. Nathanson, David A. Ross
This paper describes infinite sets of polynomial equations in infinitely many variables with the property that the existence of a solution or even an approximate solution for every…