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Retractions of Chaotic Buchdahi Space and their Chaotic Fundamental Groups


Affiliations
1 Faculty of Science, Taibah University, Madinah, Saudi Arabia
2 Department of Mathematics, Allaith University College (Girls Branch), Umm Al-Qura University, Allaith, Saudi Arabia
 

The purpose of this paper is to give a combinatorial characterization and also construct representations of the chaotic fundamental groups of the chaotic submanifolds of chaotic Buchdahi space by using some geometrical transformations. The chaotic homotopy groups of the limit for chaotic Buchdahi space are presented. The chaotic fundamental groups of some types of chaotic geodesics in chaotic Buchdahi space are discussed. New types of homotopy maps are deduced.

Keywords

Chaotic Buchdahi Space, Chaotic Homotopy Groups, Chaotic Folding, Chaotic Retractions, Chaotic Deformation Retracts
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  • Retractions of Chaotic Buchdahi Space and their Chaotic Fundamental Groups

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Authors

A. E. El-Ahmady
Faculty of Science, Taibah University, Madinah, Saudi Arabia
M. Abu-Saleem
Department of Mathematics, Allaith University College (Girls Branch), Umm Al-Qura University, Allaith, Saudi Arabia

Abstract


The purpose of this paper is to give a combinatorial characterization and also construct representations of the chaotic fundamental groups of the chaotic submanifolds of chaotic Buchdahi space by using some geometrical transformations. The chaotic homotopy groups of the limit for chaotic Buchdahi space are presented. The chaotic fundamental groups of some types of chaotic geodesics in chaotic Buchdahi space are discussed. New types of homotopy maps are deduced.

Keywords


Chaotic Buchdahi Space, Chaotic Homotopy Groups, Chaotic Folding, Chaotic Retractions, Chaotic Deformation Retracts

References





DOI: https://doi.org/10.17485/ijst%2F2013%2Fv6i8%2F36510