On the geometric structures of compact manifold : distance function, critical points on the homology representation
Author
Ismail, Khalid Abd al-Salam Atiyyah
Source
Issue
Vol. 5, Issue 4 (30 Sep. 2020), pp.347-361, 15 p.
Publisher
Ziane Achour University of Djelfa
Publication Date
2020-09-30
Country of Publication
Algeria
No. of Pages
15
Main Subjects
Engineering & Technology Sciences (Multidisciplinary)
Topics
Abstract AR
في مجال التبولوجيا الجبرية، هومولجي الفضاءات في البعد n تعكس الخواص الهندسية للداخل في هذه الفضاءات.
وجدنا أنه لأجل القيمة المناسبة للقيمة الوسيطية ε_n، يمكن بناء اتحاد لأفضل جوار لتمثيل البناء الهندسي لمتعددات الطيات في البعد n.
باستخدام النقاط الحرجة لدالة المسافة، يمكننا توليد زمر بولية بحيث تمثل أساسات للهومولوجي.
Abstract EN
In the field of algebraic topology, the homology of an n – dimensional space reflects the geometric properties in the interior of such space.
We found that and with appropriate parameter ε_n, we can built a union of optimizes neighborhoods to represents geometric structure in an n – dimensional manifolds.
Upon the notion of the critical points of the distance function, we can generate an abelian group, which represents a basis for such homology.
American Psychological Association (APA)
Ismail, Khalid Abd al-Salam Atiyyah. 2020. On the geometric structures of compact manifold : distance function, critical points on the homology representation. Afak for Sciences،Vol. 5, no. 4, pp.347-361.
https://search.emarefa.net/detail/BIM-995989
Modern Language Association (MLA)
Ismail, Khalid Abd al-Salam Atiyyah. On the geometric structures of compact manifold : distance function, critical points on the homology representation. Afak for Sciences Vol. 5, no. 4 (2020), pp.347-361.
https://search.emarefa.net/detail/BIM-995989
American Medical Association (AMA)
Ismail, Khalid Abd al-Salam Atiyyah. On the geometric structures of compact manifold : distance function, critical points on the homology representation. Afak for Sciences. 2020. Vol. 5, no. 4, pp.347-361.
https://search.emarefa.net/detail/BIM-995989
Data Type
Journal Articles
Language
English
Notes
-
Record ID
BIM-995989