Normally preordered spaces and continuous multi-utilities

Abstract

We study regular, normal and perfectly normal preorders by referring to suitable assumptions concerning the preorder and the topology of the space. We also present conditions for the existence of a countable continuous multi-utility representation, hence a Richter-Peleg multi-utility representation, by assuming the existence of a countable net weight.

Keywords

• normally preordered space
• perfectly normally preordered space
• multi-utility representation.