Open Access
december 2014 Applications of the Lefschetz Number to Digital Images
Ozgur Ege, Ismet Karaca
Bull. Belg. Math. Soc. Simon Stevin 21(5): 823-839 (december 2014). DOI: 10.36045/bbms/1420071856

Abstract

The goal of this paper is to develop some applications of the Lefschetz fixed point theorem to digital images. We also deal with relative and reduced Lefschetz fixed point theorem for digital complexes. We give some examples related to the topic. We calculate the degree of the antipodal map for sphere-like digital images using fixed point properties.

Citation

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Ozgur Ege. Ismet Karaca. "Applications of the Lefschetz Number to Digital Images." Bull. Belg. Math. Soc. Simon Stevin 21 (5) 823 - 839, december 2014. https://doi.org/10.36045/bbms/1420071856

Information

Published: december 2014
First available in Project Euclid: 1 January 2015

zbMATH: 1318.55006
MathSciNet: MR3298480
Digital Object Identifier: 10.36045/bbms/1420071856

Subjects:
Primary: ‎55M20 , 55N35 , 68R10 , 68U05 , 68U10

Keywords: Digital image , Lefschetz number , the Euler Characteristic , the Lefschetz Fixed Point Theorem

Rights: Copyright © 2014 The Belgian Mathematical Society

Vol.21 • No. 5 • december 2014
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