Applications of the lefschetz number to digital images

---

EGE Ö., Karaca I.

Bulletin of the Belgian Mathematical Society - Simon Stevin, vol.21, no.5, pp.823-829, 2014 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 21 Issue: 5
• Publication Date: 2014
• Doi Number: 10.36045/bbms/1420071856
• Journal Name: Bulletin of the Belgian Mathematical Society - Simon Stevin
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.823-829
• Keywords: Digital image, the Lefschetz Fixed Point Theorem, the Euler Characteristic, Lefschetz number
• Open Archive Collection: AVESIS Open Access Collection
• Manisa Celal Bayar University Affiliated: No

Abstract

The goal of this paper is to develop some applications of the Lefschetz fixed point theoremto digital images. We also dealwith relative and reduced Lefschetz fixed point theoremfor digital complexes. We give some examples related to the topic. We calculate the degree of the antipodal map for spherelike digital images using fixed point properties.