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Non-archimedean stratifications in power bounded $T$-convex fields. (arXiv:1704.06558v1 [math.LO])
来源于:arXiv
We show that functions definable in power bounded $T$-convex fields have the
(multidimensional) Jacobian property. Building on work of I. Halupczok, this
implies that a certain notion of non-archimedean stratifications is available
in such valued fields. From the existence of these stratifications, we derive
some applications in an archimedean o-minimal setting. As a minor result, we
also show that if $T$ is power bounded, the theory of $T$-convex valued fields
is $b$-minimal with centres. 查看全文>>