Main Article Content

A study concerning splitting and jointly continuous topologies on C(Y, Z)


Dimitris Georgiou
Athanasios Megaritis
Kyriakos Papadopoulos
Vasilios Petropoulos

Abstract

Let Y and Z be two xed topological spaces and(Y,Z) the set of all continuous maps from Y into Z. We construct and study topologies on C(Y,Z) that we call Fn(Tn)-family-open topologies. Furthermore, we find necessary and sufficient conditions such that these topologies to be splitting and jointly continuous. Finally, we present questions concerning a further study on this area.

Keywords: Function spaces, splitting topology, jointly continuous topology


Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606