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Abstract
In this paper, we discuss some geometrical and topological properties of a parameterized binary order relation. This relation is based on a special set called . We answer the question under which conditions the natural ordering cone of
is a subset of
. Moreover, we examine in which cases the set
coincides with a certain half space. Furthermore, we determine the dual set of
and the contingent cone to
.
Acknowledgments
The author would like to thank the referees for their helpful suggestions and comments.