Foldings and Deformation Retractions of Hypercylinder

El-Ahmady, A. E.; Al-Hazmi, N.
February 2013
Indian Journal of Science & Technology;Feb2013, Vol. 6 Issue 2, p4084
Academic Journal
Our aim in the present work is to introduce and study new types of retractions of hypercylinder. Types of the deformation retracts of hypercylinder are presented. The relations between the folding and the deformation retract of hypercylinder are deduced. Types of minimal retractions of hypercylinder are introduced. Also, the isometric and topological folding in each case and the relation between the deformation retracts after and before folding are obtained. New types of homotopy maps are deduced. Theorems governing this connection are achieved.


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