Simplicial Relative Cohomology Rings of Digital Images
Articles > Article · 2014
Authors: İsmet KARACA, Gulseli Burak
Applied Mathematics & Information Sciences, Journal Indexed in SCI Expanded, International, Scopus, 2014, vol 8, pp 2375-2387
DOI: 10.12785/amis/080533
Summary
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.