Normally preordered spaces and utilities

Details Normally preordered spaces and utilities Normally preordered spaces and utilities

2011-06-22

arxiv.org/abs/1106.4457v2

Mathematics

General Topology

17 pages, 1 figure. v2 contains a second proof to the main theorem with respect to the published version. The last section of

Scientific paper

In applications it is useful to know whether a topological preordered space
is normally preordered. It is proved that every $k_\omega$-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.

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