Frechet空间的直径维数
Diametral dimensions of Frechet spaces
摘要：
直径维数是Frechet空间范畴中一个重要的拓扑不变量，它已被应用于，例如，以区分斯坦流形的类型。我们介绍了变种的经典定义，以解决一个老猜想的Bessaga，Mityagin，Pelczynski，Rolewicz至少核Frechet空间。此外，我们澄清之间的关系不变量最近介绍的Terzioglu和现在经典的条件$(\bar Ω)$的Vogt和瓦格纳。
英文摘要：
The diametral dimension is an important topological invariant in the category of Frechet spaces which has been used, e.g., to distinguish types of Stein manifolds. We introduce variants of the classical definition in order to solve an old conjecture of Bessaga, Mityagin, Pelczynski, and Rolewicz at least for nuclear Frechet spaces. Moreover, we clarify the relation between an invariant recently introduced by Terzioglu and the by now classical condition $(\bar Ω)$ of Vogt and Wagner.
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