ورقة بحثية
Characterizations of K- Semimetric Spaces = تمييز لفضاءات شبه المترية من الصنف K

Mohamad, Abdul M.


 

Characterizations of K- Semimetric Spaces = تمييز لفضاءات شبه المترية من الصنف K

Mohamad, Abdul M.

In this paper, we prove, for a space X, the following are equivalent: 1. X is a D1 space with a regular-Gδ-diagonal, 2. X is a D2 space with a regular-Gδ-diagonal, 3. X is a semi-developable space with Gδ (3) -diagonal, 4. X is a D1-space with a Gδ(3)-diagonal, 5. X is a D2 -space with a Gδ(3)-diagonal, 6. X is a q, -space with a G*δ (2)-diagonal, 7. X is a semi-developable space with G*δ (2)-diagonal, 8. X is a semimetrizable, c-stratifiable space, 9. X is a c-Nagata -space, 10. X is a K-semimetrizable.

In this paper, we prove, for a space X, the following are equivalent: 1. X is a D1 space with a regular-Gδ-diagonal, 2. X is a D2 space with a regular-Gδ-diagonal, 3. X is a semi-developable space with Gδ (3) -diagonal, 4. X is a D1-space with a Gδ(3)-diagonal, 5. X is a D2 -space with a Gδ...

مادة فرعية

المؤلف : Mohamad, Abdul M.

بيانات النشر : Muscat، Sultanate of Oman : Sultan Qaboos Journal of Science، 2003مـ.

التصنيف الموضوعي : العلوم البحتة| .

المواضيع : Mathematics .

الرياضيات .

رقم الطبعة : 1

المصدر : Sultan Qaboos University : Muscat، Sultanate of Oman.

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