Krzysztof A. Krawczyk, Bożena Pięta
Abstract
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Abstract This paper introduces the construct of an ultravaluation inspired by the well-known ultraproduct. Basic properties and exemplary applications of this notion are shown: for compactness and definability theorems. We also use ultravaluations to check failure of compactness and undefinability.
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Abstract This paper introduces the construct of an ultravaluation inspired by the well-known ultraproduct. Basic properties and exemplary applications of this notion are shown: for compactness and definability theorems. We also use ultravaluations to check failure of compactness and undefinability.
Key concepts: Ultraproduct, Compact space, Construct (python library), Mathematics, Discrete mathematics, Pure mathematics, Computer science, Programming language