Computing Higher Dimensional Digital Homotopy Groups

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Meric E. T., Vergili T., KARACA İ.

APPLIED MATHEMATICS & INFORMATION SCIENCES, vol.8, no.5, pp.2417-2425, 2014 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 8 Issue: 5
• Publication Date: 2014
• Doi Number: 10.12785/amis/080537
• Journal Name: APPLIED MATHEMATICS & INFORMATION SCIENCES
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.2417-2425
• Keywords: digital homotopy groups, digital covering map, radius 2 local isomorphism
• Open Archive Collection: AVESIS Open Access Collection
• Karadeniz Technical University Affiliated: No

Abstract

In this paper, we study out a method for computing digital homotopy groups in higher dimensions. We investigate the relation between a digital image and its nth homotopy group when n is greater than 1 and show that a digital covering map which is a radius 2 local isomorphism induces an isomorphism between digital homotopy groups in higher dimensions.