Abstract

Let X be a set and f : X → X be a map. We denote by 𝒫(f) the topology defined on X whose closed sets are the subsets A of X with f (A) ⊆ A. A topology on X is said to be a primal topology, if it is a 𝒫(f) for some map f. Our aim here is to characterize when the product of an arbitrary family of topological spaces is a primal space.

中文翻译：

---

关于原始空间的乘积

摘要

设X为集合，f为：X → X为图。我们用𝒫 （F）上定义的拓扑X，其封闭集是所述子集甲的X与F（A）上⊆A.拓扑X被说成是一个原始拓扑结构，如果它是一个𝒫 （F），用于一些地图f。我们的目的是表征拓扑空间的任意族的乘积是原始空间。