Retractions of One Dimensional Manifold  

作　　者：A. E. El-Ahmady Nashwa Salem Awyd Al-Hazmi 

机构地区：[1]Mathematics Department, Faculty of Science, Taibah University, Madinah, Saudi Arabia

出　　处：《Applied Mathematics》2012年第10期1135-1143,共9页应用数学（英文）

摘　　要：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.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.

关 键 词：RETRACTIONS Deformation Retracts FOLDING One DIMENSIONAL MANIFOLD 

分 类 号：O1[理学—数学]