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.
Digital Object Identifier (DOI)
Karaca, Ismet and Burak, Gulseli
"Simplicial Relative Cohomology Rings of Digital Images,"
Applied Mathematics & Information Sciences: Vol. 08
, Article 33.
Available at: https://dc.naturalspublishing.com/amis/vol08/iss5/33