幂有界$T$ -凸域中的非阿基米德分层
Non-archimedean stratifications in power bounded $T$-convex fields
摘要：
证明了在幂有界$T$ -凸域中可定义的函数具有（多维）雅可比性质.基于I的工作。Halupczok，这意味着一定的概念，非阿基米德分层可在这些领域的价值。从这些分层的存在，我们得到了一些应用中的阿基米德O-最小设置。作为一个次要的结果，我们还证明了如果$T$是幂有界的，则$T$ -凸值域的理论是有中心的$b$ -极小的.
英文摘要：
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.
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