On the Geometric Structures of Compact Manifold (Distance Function, Critical Points On the Homology Representation)

On the Geometric Structures of Compact Manifold (Distance Function, Critical Points On the Homology Representation)

In the field of algebraic topology, the homology of an  space reflects the geometric properties in the interior of such space. We found that and with appropriate parameter , we can built a union of optimizes neighborhoods to represents geometric structure in an  manifolds. Upon the notion of the cri...

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Bibliographic Details
Main Author: Ateia Ismaeel Khalid Abd Assalam
Format: Article
Language:Arabic
Published: University of Djelfa 2021-02-01
Series:آفاق للعلوم
Subjects:
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.
Online Access:https://afak-revues.com/index.php/afak/article/view/767
Description
Summary:In the field of algebraic topology, the homology of an  space reflects the geometric properties in the interior of such space. We found that and with appropriate parameter , we can built a union of optimizes neighborhoods to represents geometric structure in an  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
2602-5345

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