Retractions of One Dimensional Manifold

A. E. El-Ahmady, Nashwa Salem Awyd Al-Hazmi

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

DOI: 10.4236/am.2012.310167                

Abstract

Our aim in the present article is to introduce and study types of retraction of one dimensional manifold. New types of geodesics in one dimensional manifold are presented. The deformation retracts of one dimensional manifold into itself and onto geodesics is deduced. Also, the isometric and topological folding in each case and the relation between the deformations retracts after and before folding has been obtained. New types of conditional folding are described.

Keywords

Retractions; Deformation Retracts; Folding; One Dimensional Manifold

Conflicts of Interest

The authors declare no conflicts of interest.

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