The Notion of Closedness in Topological Category of Quantale Valued Closure Spaces

Abstract

In this thesis, we consider the topological category of QV-Closure space and explicitly characterize local T0 and local T1 objects in this category. Furthermore, we examine the notion of closedness in L-Cls. We consider the topological category of QV-Closure space and explicitly characterize local T0 and local T1 objects in this category. Finally we show that every local T1 QV-Closure Space is Local T0 QV-Closure Space and the notion of closedness coincides with Local T0 QV-Closure Space.