The metrizability of L-topological groups | Zendy

Fatma Bayoumi | Zendy; İsmail Ibedou | Zendy

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The metrizability of L-topological groups

Author(s) -

Fatma Bayoumi,

İsmail Ibedou

Publication year - 2013

Publication title -

journal of the egyptian mathematical society

Language(s) - English

Resource type - Journals

eISSN - 2090-9128

pISSN - 1110-256X

DOI - 10.1016/j.joems.2013.03.012

Subject(s) - metrization theorem , mathematics , topological group , group (periodic table) , topology (electrical circuits) , metric (unit) , fundamental group , combinatorics , pure mathematics , mathematical analysis , separable space , physics , operations management , quantum mechanics , economics

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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