Retractions of One Dimensional Manifold

DOI: 10.4236/am.2012.310167   PDF   HTML   XML   3,268 Downloads   5,178 Views   Citations


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.

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A. El-Ahmady and N. Al-Hazmi, "Retractions of One Dimensional Manifold," Applied Mathematics, Vol. 3 No. 10, 2012, pp. 1135-1143. doi: 10.4236/am.2012.310167.

Conflicts of Interest

The authors declare no conflicts of interest.


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