On epireflective and coreflective hulls of a particular L-topological space |
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Authors: | Rana Noor Arun K. Srivastava |
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Affiliation: | 1. Department of Mathematics, Banaras Hindu University, Varanasi-221 005, India.;2. Department of Mathematics and Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi-221 005, India. |
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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. |
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Keywords: | 03E72 18A40 54A40 |
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