Alpha topologies and alpha classes

In this study, alpha and beta sets and their classes are introduced. It was shown that if the classes of alpha sets corresponding to different topologies are the same, the classes of beta sets are also the same. In this study, alpha and beta sets and their classes are introduced. It was shown that if the classes of alpha sets corresponding to different topologies are the same, the classes of beta sets are also the same. It was shown that the class of nowhere dense sets according to the original topology and the class of nowhere dense sets according to the topology determined by alpha sets are the same. It was shown that the class of quasi-continuous functions according to the original topology and the class of quasi-continuous functions according to the topology determined by alpha sets are the same. It was shown that the class of minimally bounded sets according to the original topology and the class of minimally bounded sets according to the topology determined by alpha sets are the same.