METRIZABILITY AND SUBMETRIZABILITY FOR POINT-OPEN, OPEN-POINT AND BI-POINT-OPEN TOPOLOGIES ON C(X, Y

Abstract

The open-point topology h [3] on C(X,Y) has a subbase consisting of the setsoftheform[U,y]- ={f ∈C(X,Y):f-1(y)∩U =φ},whereU isanopen set in X and y ∈ Y . The space C(X, Y ) equipped with open-point topology is denoted by Ch(X, Y ).