On docile spaces, Mackey first countable spaces, and sequentially Mackey first countable spaces
On docile spaces, Mackey first countable spaces, and sequentially Mackey first countable spaces
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 …