Non-archimedean valued fields - Open Access .click

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Lebesgue measure theory and integration theory on non-archimedean real closed fields with archimedean value group

, 2014
Given a non-archimedean real closed field with archimedean value group which contains the reals, we establish for the category of semialgebraic sets and functions a full Lebesgue measure and integration theory such that the main results from the classical setting hold.
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The Banach–Tarski paradox for some subsets of finite-dimensional normed spaces over non-Archimedean valued fields

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
We show some results related to the classical Banach-Tarski paradox in the setting of finite-dimensional normed spaces over a non-Archimedean valued field $K$. For instance, all balls and spheres in $K^n$, and the whole space $K^n$ (for $n\ge 2$) are paradoxical with respect to certain groups of isometries of $K^n$. If $K$ is locally compact (e.g., $K$
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Performance evaluation for medical alliance in China based on a novel multi-attribute group decision-making technique with Archimedean copulas-based Hamy operators and extended best-worst method. [PDF]