فاطمه محمد بيومى محمد
أستاذ متفرغ
The metrizibality of L-Topological Groups
Journal of the Egyptian Mathematical Society • 2013
معلومات البحث
المؤلفون
Fatma Bayoumi, Ismail Ibedou
الكلمات المفتاحية
Countable L-filters; Countable L-topological spaces;
L-topological groups; Separated L-topological groups;
L-metric spaces;
L-pseudo-metric spaces
المجلة العلمية
Journal of the Egyptian Mathematical Society
الناشر
Egyptian Mathematical Society
المجلد
21
العدد
2013
الصفحات
324-329
publication.type
Local
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
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 Ga¨ hler 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).
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 Ga¨ hler 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).
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 Ga¨ hler 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).
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 Ga¨ hler 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).
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 Ga¨ hler 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).