Homology Groups and Foldings on Buchdahi Space

A  E  El Ahmady    and M  Abu Saleem

doi:10.17485/ijst/2013/v6i9.3

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Homology Groups and Foldings on Buchdahi Space

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2013/v6i9.3

Year: 2013, Volume: 6, Issue: 9, Pages: 1-8

Original Article

Homology Groups and Foldings on Buchdahi Space

A. E. El-Ahmady^{1 *} and M. Abu-Saleem²

¹Mathematics Department, Faculty of Science,
¹Mathematics Department, Faculty of Science, [email protected]
²Department of Mathematics, [email protected]
*Author For Correspondence
A. E. El-Ahmady
Mathematics Department,
Email:[email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

The purpose of this paper is to give a combinatorial characterization and also construct representations of the homology group of the submanifolds of Buchdahi space by using some geometrical transformations. The homology groups of the limit Buchdahi space are presented. The homology groups of some types of geodesics in Buchdahi space are discussed. Theorems governing this connection are achieved.
Keywords: Buchdahi Space, Homology Group, Folding, Retractions, Deformation Retract.