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Rado’s theorem for the Loeb space of an internal *-finitely additive measure space

Rado’s theorem for the Loeb space of an internal *-finitely additive measure space

A version of Rado’s theorem about the existence of a family of subsets of a given family of sets combinatorially similar to another family of sets is proved for the Loeb space of an internal <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="asterisk"> <mml:semantics> <mml:mo>∗<!-- ∗ --></mml:mo> <mml:annotation encoding="application/x-tex">*</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-finitely additive …