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.
| Original language | English |
|---|---|
| Pages (from-to) | 1-10 |
| Number of pages | 10 |
| Journal | Quaestiones Mathematicae |
| Volume | 45 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2022 |
Bibliographical note
Publisher Copyright:© 2020 NISC (Pty) Ltd.
Keywords
- Alexandroff topology
- primal space
- product space
- symmetric space
ASJC Scopus subject areas
- Mathematics (miscellaneous)