Retractions of One Dimensional Manifold

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

作者机构：Mathematics Department Faculty of Science Taibah University Madinah Saudi Arabia 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2012年第3卷第10期

页      面：1135-1143页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Retractions Deformation Retracts Folding One Dimensional Manifold 

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.