Computing Higher Dimensional Digital Homotopy Groups

Authors

Elif Tugce Meric, Department of Mathematics, Faculty of Science and Arts, Celal Bayar University, 45140 Manisa, Turkey
Tane Vergili
Ismet Karaca

Author Country (or Countries)

Turkey

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.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080537

Recommended Citation

Tugce Meric, Elif; Vergili, Tane; and Karaca, Ismet (2014) "Computing Higher Dimensional Digital Homotopy Groups," Applied Mathematics & Information Sciences: Vol. 08: Iss. 5, Article 37.
DOI: http://dx.doi.org/10.12785/amis/080537
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss5/37