Applications of the Lefschetz Number to Digital Images

Articles > Article · 2014

Authors: Özgür EGE, İsmet KARACA

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, Journal Indexed in SCI Expanded, International, 2014, vol 21, pp 823-839

Summary

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.

View details