论文标题
在温顺的空间，Mackey首先可数空间和依次的Mackey首先可数空间
On Docile Spaces, Mackey First Countable Spaces, and Sequentially Mackey First Countable Spaces
论文作者
论文摘要
在本文中，我们讨论了三种本地凸空间之间的关系：温顺的空间，Mackey首先可数空间和Mackey首次可数空间。更确切地说，我们证明温顺的空间是Mackey首先可数的。我们还展示了Mackey的顺序存在，这些空间不可计入Mackey，我们在某些归纳限制的规范性方面表征了Mackey首先可计数空间。
In this article we discuss the relationship between three types of locally convex spaces: docile spaces, Mackey first countable spaces, and sequentially Mackey first countable spaces. More precisely, we show that docile spaces are sequentially Mackey first countable. We also show the existence of sequentially Mackey first countable spaces that are not Mackey first countable, and we characterize Mackey first countable spaces in terms of normability of certain inductive limits.
