Simplicial Relative Cohomology Rings of Digital Images

Abstract

Abstract:The first goal of this paper is to show that the relative cohomology groups of digital images are determined algebraically by the relative homology groups of digital images. Then we state simplicial cup product for digital images and use it to establish ring structure of digital cohomology. Furthermore we give a method for computing the cohomology ring of digital images and give some examples concerning cohomology ring.

Some new results on the connected sum of certain digital surfaces

“…Karaca and Burak [22] define the simplicial cup product for digital images and use it to establish ring structure of digital cohomology. They introduce the relative cohomology groups of digital images.…”