Sciweavers

DAM
2008

On the existence of maximal elements: An impossibility theorem

13 years 11 months ago
On the existence of maximal elements: An impossibility theorem
All sufficient (as well as necessary) conditions for a binary relation on a metric space to admit a maximal element on every nonempty compact subset of its domain that have been found so far in the literature can be expressed as the prohibition of certain "configurations." No condition of this form could be necessary and sufficient simultaneously.
Nikolai S. Kukushkin
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2008
Where DAM
Authors Nikolai S. Kukushkin
Comments (0)