On Elastic Klein Bottle and Fundamental Groups

A. E. El-Ahmady

Taibah University, Madinah, Saudi Arabia.

DOI: 10.4236/am.2013.43074                

Abstract

The purpose of this paper is to give a combinatorial characterization and also construct representations of the fundamental group of the submanifolds of elastic Klein Bottle by using some geometrical transformations. The homotopy groups of the limit elastic Klein Bottle are presented. The fundamental groups of some types of geodesics in elastic Klein Bottle are discussed. New types of homotopy maps are deduced. Theorems governing this connection are achieved.

Keywords

Elastic Klein Bottle; Homotopy Groups; Folding; Retraction; Deformation Retracts

Conflicts of Interest

The authors declare no conflicts of interest.

References

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