Regularly Pre-open Sets and Regular Pre-Continuity in L-Topological Spaces

摘要

In this paper, we first introduce regularly pre-open sets and regularly pre-closed sets in L-topological space. Then, we study their properties and establish their structure relations with known nearly open sets. Second, we introduce regular pre-interior and regular pre-closure and give out the generalization of Kuratowski's fourteen sets theorem. Finally, we introduce regular pre-continuity and regularly pre-open(closed) mappings, discuss their properties.