13 research outputs found
Normally preordered spaces and utilities
In applications it is useful to know whether a topological preordered space
is normally preordered. It is proved that every -space equipped with
a closed preorder is a normally preordered space. Furthermore, it is proved
that second countable regularly preordered spaces are perfectly normally
preordered and admit a countable utility representation.Comment: 17 pages, 1 figure. v2 contains a second proof to the main theorem
with respect to the published version. The last section of v1 is not present
in v2. It will be included in a different wor