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On Elastic Klein Bottle and Fundamental Groups

On Elastic Klein Bottle and Fundamental Groups
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摘要 The purpose of this paper is to give a combinatorial characterization and also construct representations of the fundamental group of the submanifolds of elastic Klein Bottle by using some geometrical transformations. The homotopy groups of the limit elastic Klein Bottle are presented. The fundamental groups of some types of geodesics in elastic Klein Bottle are discussed. New types of homotopy maps are deduced. Theorems governing this connection are achieved. The purpose of this paper is to give a combinatorial characterization and also construct representations of the fundamental group of the submanifolds of elastic Klein Bottle by using some geometrical transformations. The homotopy groups of the limit elastic Klein Bottle are presented. The fundamental groups of some types of geodesics in elastic Klein Bottle are discussed. New types of homotopy maps are deduced. Theorems governing this connection are achieved.
机构地区 Taibah University
出处 《Applied Mathematics》 2013年第3期499-504,共6页 应用数学(英文)
关键词 ELASTIC KLEIN BOTTLE HOMOTOPY Groups FOLDING RETRACTION Deformation Retracts Elastic Klein Bottle Homotopy Groups Folding Retraction Deformation Retracts
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