Articles

On two topologies associated with a topology

Published in: Quaestiones Mathematicae
Volume 34 , issue 1 , 2011 , pages: 93–99

DOI: 10.2989/16073606.2011.570302

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

Keywords: 54A10 , 54B30 , 54D10 , 54A10 , 54B30 , 54D10

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Abstract

With every topology T on a set X, two finer topologies on X have been introduced in the past, viz., the so-called front topology and the indiscrete generated refinement of T. It is shown here that these are nicely inter-related and their being equal characterizes the T_D- ₀ property.

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