On epireflective and coreflective hulls of a particular L-topological space
Abstract. In this paper, we study some aspects of the category L-ZTop of zero- dimensional L-topological spaces. After noting that it is a topological category, we identify a `Sierpinski object' LZ in it. We further show that two epireflective hulls of LZ respectively turn out to be the categories of zero-dimensional T0-L-topological spaces and of zero-dimensional sober L-topological spaces. We also determine the coreflective hull of LZ in the category of L-topological spaces.
Mathematics Subject Classication (2010): 03E72, 18A40, 54A40.
Keywords: L-topology, T0-L-topological space, zero-dimensional L-topological space, epireflective hull, coreflective hull