Lefschetz fixed point theorem for digital images

Fixexd point theory and applications

Ozgur Ege¹  Ismet Karaca² 

[1] Department of Mathematics, Celal Bayar University, Muradiye, Manisa, Turkey;Departments of Mathematics, Ege University, Bornova, Turkey

关键词: digital image;    Lefschetz fixed point theorem;    Euler characteristic;   

DOI  :  10.1186/1687-1812-2013-253

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article we study the fixed point properties of digital images. Moreover, we prove the Lefschetz fixed point theorem for a digital image. We then give some examples about the fixed point property. We conclude that sphere-like digital images have the fixed point property. MSC:55N35, 68R10, 68U05, 68U10.

【 授权许可】

CC BY