On semi-open sets and mutual correspondence between properties of functions considered with respect to different topological structures

Abstract

At the end of XX century Á. Császár pointed out the possibility of
the transition from the topology to the generalized topology and vice
versa. One of the tools used for this purpose are semi-open sets. In
this paper we investigate properties of functions in GTS in the context
of semi-open sets and problems connected with transfer of properties
of functions defined and assuming their values in primal spaces to
functions considered as mappings in the spaces generated by primal
spaces.