The metrizability of L-topological groups

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-topolo...

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Main Authors:	Fatma Bayoumi, Ismail Ibedou
Format:	Article
Language:	English
Published:	SpringerOpen 2013-10-01
Series:	Journal of the Egyptian Mathematical Society
Subjects:	Countable L-filters Countable L-topological spaces L-topological groups Separated L-topological groups L-metric spaces L-pseudo-metric spaces
Online Access:	http://www.sciencedirect.com/science/article/pii/S1110256X13000424

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spelling	doaj-7b913454b7f94ca0854f51bb04596bbd2020-11-25T01:22:13ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2013-10-0121332432910.1016/j.joems.2013.03.012The metrizability of L-topological groupsFatma BayoumiIsmail IbedouIn 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).http://www.sciencedirect.com/science/article/pii/S1110256X13000424Countable L-filtersCountable L-topological spacesL-topological groupsSeparated L-topological groupsL-metric spacesL-pseudo-metric spaces
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Fatma Bayoumi Ismail Ibedou
spellingShingle	Fatma Bayoumi Ismail Ibedou The metrizability of L-topological groups Journal of the Egyptian Mathematical Society Countable L-filters Countable L-topological spaces L-topological groups Separated L-topological groups L-metric spaces L-pseudo-metric spaces
author_facet	Fatma Bayoumi Ismail Ibedou
author_sort	Fatma Bayoumi
title	The metrizability of L-topological groups
title_short	The metrizability of L-topological groups
title_full	The metrizability of L-topological groups
title_fullStr	The metrizability of L-topological groups
title_full_unstemmed	The metrizability of L-topological groups
title_sort	metrizability of l-topological groups
publisher	SpringerOpen
series	Journal of the Egyptian Mathematical Society
issn	1110-256X
publishDate	2013-10-01
description	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).
topic	Countable L-filters Countable L-topological spaces L-topological groups Separated L-topological groups L-metric spaces L-pseudo-metric spaces
url	http://www.sciencedirect.com/science/article/pii/S1110256X13000424
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The metrizability of L-topological groups

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