You are in:Home/Publications/ The completion of L-topological groups, www.elsevier.com/locate/fss, Vol. 159 (2008) 2552 – 2566. | |
Dr. Ismail Ahmed Mahmoud Abdelaziz Ibedou :: Publications: |
Title: | The completion of L-topological groups, www.elsevier.com/locate/fss, Vol. 159 (2008) 2552 – 2566. |
Authors: | F. Bayoumi and Ismail Ibedou |
Year: | 2008 |
Keywords: | Not Available |
Journal: | Not Available |
Volume: | Not Available |
Issue: | Not Available |
Pages: | Not Available |
Publisher: | Not Available |
Local/International: | Local |
Paper Link: | Not Available |
Full paper | Ismail Ahmed Mahmoud Abdelaziz Ibedou_PAPER_09.pdf |
Supplementary materials | Not Available |
Abstract: |
This paper studies the metrizability of the notion of L-topological groups defined by Ahsanullah. We show that for any (separated) L-topological group there is an L-pseudo-metric (L-metric), in sense of G¨ahler 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). Keywords: Countable L-filters; Countable L-topological spaces; L-topological groups; Separated L-topological groups; L-metric spaces; L-pseudo-metric spaces; L-uniform spaces; L-filters. |