弧式解析t分层
Arc-wise analytic t-stratifications
摘要：
我们引入了两个新的概念分层的价值领域：t $^2$ -分层和弧明智的解析t-分层。本文证明了具有解析结构的代数闭值域在R意义下存在弧式解析t-分层。克拉克和L.利普希茨我们证明了弧式解析t-分层是t $^2$ -分层，而且t $^2$ -分层是第二作者和Y.尹（后者是密切相关的Lipschitz分层的意义上的Mostowski）。最后，我们引入了一个组合不变相关联的t-分层，我们称之为临界值函数。我们解释了如何弧式解析t-分层的临界值函数可以用来制定Nash-Semple猜想的数学界。
英文摘要：
We introduce two new notions of stratifications in valued fields: t$^2$-stratifications and arc-wise analytic t-stratifications. We show the existence of arc-wise analytic t-stratifications in algebraically closed valued fields with analytic structure in the sense of R. Cluckers and L. Lipshitz. We prove that arc-wise analytic t-stratifications are t$^2$-stratifications and, moreover, that t$^2$-stratifications are valuative Lipschitz stratifications as defined by the second author and Y. Yin (the latter ones being closely related to Lipschitz stratifications in the sense of Mostowski). Finally, we introduce a combinatorial invariant associated to a t-stratification which we call the critical value function. We explain how the critical value function of arc-wise analytic t-stratifications can be used to formulate programatic conjectural bounds for the Nash-Semple conjecture.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
