Properties of Topologies for the Continuous Representability of All Weakly Continuous Preorders

We investigate properties of <i>strongly useful topologies</i>, i.e., topologies with respect to which every <i>weakly continuous</i> preorder admits a continuous order-preserving function. In particular, we prove that a topology is strongly useful provided that the topology...

Full description

Bibliographic Details
Main Authors: Gianni Bosi, Laura Franzoi, Gabriele Sbaiz
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/20/4335