Folding And Fundamental Groups of Buchdahi Space

A  E  El Ahmady

doi:10.17485/ijst/2013/v6i1.9

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Folding And Fundamental Groups of Buchdahi Space

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2013/v6i1.9

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

Original Article

Folding And Fundamental Groups of Buchdahi Space

A. E. El-Ahmady

Mathematics Department, Faculty of Science, Taibah University, Madinah, Saudi Arabia. Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt.
[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 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.