Original Articles

On coreflective hulls in [0, 1]-TOP and s[0, 1]-TOP

Published in: Quaestiones Mathematicae
Volume 36 , issue 2 , 2013 , pages: 167–179

DOI: 10.2989/16073606.2013.801111

Author(s): Veena Singh Department of Mathematics, India , ArunK. Srivastava Department of Mathematics and Centre for Interdisciplinary Mathematical Sciences, Faculty of Science, India

Keywords: Coreflective subcategory , coreflective hull , complete atomic Boolean algebra , Coreflective subcategory , coreflective hull , complete atomic Boolean algebra

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Abstract

In this paper, we find the coreflective hull of the category of indiscrete [0, 1]-topological spaces in the category [0, 1]-TOP of [0, 1]-topological spaces. We also show that the coreflective hull of a single-point s[0, 1]-topological space in the category s[0, 1]-TOP of stratified [0, 1]-topological spaces is the category of discrete [0, 1]-topological spaces and the coreflective hull of the category of indiscrete s[0, 1]-topological spaces in s[0, 1]-TOP is the category s[0, 1]-IG-TOP of indiscrete-generated stratified [0, 1]-topological spaces.

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The Riesz convergence property on weighted Lorentz spaces and Orlicz-Lorentz spaces »