Georgiou, D.N.2017-09-062017-09-062009-04-011576-9402https://riunet.upv.es/handle/10251/86556[EN] Let Y and Z be two fixed topological spaces, O(Z) the family of all open subsets of Z, C(Y,Z) the set of all continuous maps from Y to Z, and OZ(Y ) the set {f−1(U) : f ϵ C(Y,Z) and U ϵ O(Z)}. In this paper, we give and study new topologies on the sets C(Y,Z) and OZ(Y ) calling (A,A0)-splitting and (A,A0)-admissible, where A and A0 families of spaces.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)SpaceHyperspaceSplitting topologyAdmissible topologyArtículo2017-09-0610.4995/agt.2009.1794Abierto1989-4147