Maximal elements of quasi upper semicontinuous preorders on compact spaces
Abstract
We introduce the concept of quasi upper semicontinuity of a not necessarily total preorder on a topological space and we prove that there exists a maximal element for a preorder on a compact topological space provided that it is quasi upper semicontinuous. In this way, we generalize many classical and well known results in the literature. We compare the concept of quasi upper semicontinuity with the other semicontinuity concepts to arrive at the...
Paper Details
Title
Maximal elements of quasi upper semicontinuous preorders on compact spaces
Published Date
Sep 6, 2016
Journal
Volume
5
Issue
1
Pages
109 - 117
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