Indian Journal of Science and Technology
Year: 2013, Volume: 6, Issue: 1, Pages: 1-6
A. E. El-Ahmady
Mathematics Department, Faculty of Science, Taibah University, Madinah, Saudi Arabia. Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt.
The purpose of this paper is to give a combinatorial characterization and also construct representations of the fundamental group of the submanifolds of Buchdahi space by using some geometrical transformations. The homotopy groups of the limit Buchdahi space are presented. The fundamental groups of some types of geodesics in Buchdahi space are discussed. New types of homotopy maps are deduced. Theorems governing this connection are achieved.
Keywords: Buchdahi space; Homotopy groups; Folding; Deformation retracts.
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