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On epireflective and coreflective hulls of a particular L-topological space


Rana Noor
Arun K. Srivastava

Abstract

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


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eISSN: 1727-933X
print ISSN: 1607-3606