At the end of XX century Á. Császár pointed out the possibility ofthe transition from the topology to the generalized topology and viceversa. One of the tools used for this purpose are semi-open sets. Inthis paper we investigate properties of functions in GTS in the contextof semi-open sets and problems connected with transfer of propertiesof functions defined and assuming their values in primal spaces tofunctions considered as mappings in the spaces generated by primalspaces.
@article{396,
title = {On semi-open sets and mutual correspondence between properties of functions considered with respect to different topological structures},
journal = {Tatra Mountains Mathematical Publications},
volume = {65},
year = {2016},
doi = {10.2478/tatra.v65i0.396},
language = {EN},
url = {http://dml.mathdoc.fr/item/396}
}
Korczak-Kubiak, Ewa; Pawlak, Ryszard J. On semi-open sets and mutual correspondence between properties of functions considered with respect to different topological structures. Tatra Mountains Mathematical Publications, Tome 65 (2016) . doi : 10.2478/tatra.v65i0.396. http://gdmltest.u-ga.fr/item/396/