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

  • Rana Noor
  • Arun K. Srivastava
Keywords: L-topology, T0-L-topological space, zero-dimensional L-topological space, epireflective hull, core ective hull

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

Published
2016-11-25
Section
Articles

Journal Identifiers


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