论文标题
部分可观测时空混沌系统的无模型预测
Generalization of Gurjar's Hyperplane section theorem to arbitrary analytic varieties and A$\mathbb{m}$AC classes
论文作者
论文摘要
本文的目的是将Gurjar的超平面段定理推广到任意（局部）分析品种，即使与超平面的相交不一定是孤立的。 如果是正式品种，我们将声明概括为在不同类别的功能中起作用，而不仅仅是超平面。我们将这些类（是正式功率系列环的子集）称为代数$ \ mathbb {m} $ - adicaly封闭（a $ \ mathbb {m} $ ac）。
The aim of this paper is to generalize the hyperplane section theorem of Gurjar to arbitrary (local) analytic varieties even if the intersection with of hyperplanes is not necessarily isolated. In case of formal varieties, we generalize the statement to work for different classes of functions than just hyperplanes. We call these classes (which are subsets of formal power series ring) to be algebraic $\mathbb{m}$-adicaly closed (A$\mathbb{m}$AC).
