TITLE:
Retractions of One Dimensional Manifold
AUTHORS:
A. E. El-Ahmady, Nashwa Salem Awyd Al-Hazmi
KEYWORDS:
Retractions; Deformation Retracts; Folding; One Dimensional Manifold
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.10,
October
12,
2012
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.