ON SOME MAPS CONCERNING gp-CLOSED SETS AND RELATED ROUPS

抄録

In the present paper we first introduce three classes of maps called approximately s.M-precontinuity, approximately s.M-preclosedness and contra-preirresoluteness. We obtain their basic properties and their relationships with other types of mappings between topological spaces. Finally, we construct and investigate some groups of some mappings corresponding to a topological space. We show some group structures for a subspace of the digital line and the digital plane.