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Fuzzy Elastic Klein Bottle And Its Retraction

A. E. El-Ahmady

Abstract


Our aim in the present paper is to introduce and study a new type of metric, namely fuzzy elastic klein bottle metric. New types of geodesics in fuzzy elastic klein bottle are presented. The retraction of fuzzy elastic klein bottle is defined and discussed. The relations between the retraction of geometry and pure fuzzy elastic klein bottle are deduced. The deformation retract of fuzzy elastic klein bottle into itself and onto a geodesics are deduced. Also, the isometric and topological folding in each case and the relation between the deformation retracts after and before folding have been obtained. New types of homotopy maps are described.

Keywords


Fuzzy elastic klein bottle metric, Geodesics, Retraction, Folding.

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