On the Geometric Structures of Compact Manifold: Distance Function, Critical Points on the Homology Representation
| المصدر: | مجلة آفاق للعلوم |
|---|---|
| الناشر: | جامعة زيان عاشور الجلفة |
| المؤلف الرئيسي: | Esmaeel, Khalid Abd Assalam Ateia (Author) |
| المجلد/العدد: | مج5, ع4 |
| محكمة: | نعم |
| الدولة: |
الجزائر |
| التاريخ الميلادي: |
2020
|
| الصفحات: | 347 - 361 |
| DOI: |
10.37167/1677-005-004-030 |
| ISSN: |
2507-7228 |
| رقم MD: | 1214050 |
| نوع المحتوى: | بحوث ومقالات |
| اللغة: | الإنجليزية |
| قواعد المعلومات: | EduSearch, EcoLink, HumanIndex |
| مواضيع: | |
| كلمات المؤلف المفتاحية: |
Simplicial Complex | Excursion Sets | Distance Function | Critical Points
|
| رابط المحتوى: |
عدد مرات التحميل
1
| المستخلص: |
In the field of algebraic topology, the homology of an – dimensional space reflects the geometric properties in the interior of such space. We found that and with appropriate parameter 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. |
|---|---|
| ISSN: |
2507-7228 |
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