2 citations · 2 across the 6 of their papers we have counts for
6 papers
Extension of Zorn's lemma to arbitrary binary relations
Athanasios Andrikopoulos
In this note, the Zorn lemma is extended to arbitrary binary relations and thus the Zorn lemma can do for optimization when the transitivity is broken. Zorn's extended lemma can be…
On Stoltenberg's quasi-uniform completion
Athanasios Andrikopoulos, Ioannis Gounaridis
In this paper, we give a new completion for quasi-uniform spaces which generalizes the completion theories of Doitchinov [8] and Stoltenberg [20]. The presented completion theory i…
Characterization of the existence of semicontinuous Richter-Peleg multi-utility representations
Athanasios Andrikopoulos
Utility representations of preference relations in symmetric topological spaces have the advantage of fully characterising these relations. But, this is not true in the case of rep…
On hybrid order dimension
Athanasios Andrikopoulos
The notion of interval order was introduced by Norbert Wiener \cite{wie} in order to clarify the relation between the notion of an instant of time and that of a period of time. Thi…
Generalizations of Szpilrajn's Theorem in economic and game theories
Athanasios Andrikopoulos
Szpilrajn's Lemma entails that each partial order extends to a linear order. Dushnik and Miller use Szpilrajn's Lemma to show that each partial order has a relizer. Since then, man…
A solution to the completion problem of quasi-uniform spaces
Athanasios Andrikopoulos, John Stabakis
We give a new completion for the quasi-uniform spaces. We call the whole procedure {\it -completion} and the new space {\it -complement of the given}. The basic result is tha…