The metrizability of L-topological groups |
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Authors: | Fatma Bayoumi Ismail Ibedou |
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Affiliation: | Department of Mathematics, Faculty of Sciences, Benha University, Benha 13518, Egypt |
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Abstract: | In this study, we study the metrizability of the notion of L-topological group defined by Ahsanullah 1988. We show that for any (separated) L-topological group there is an L-pseudo-metric (L-metric), in sense of Gähler which is defined using his notion of L-real numbers, compatible with the L-topology of this (separated) L-topological group. That is, any (separated) L-topological group is pseudo-metrizable (metrizable). |
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