@article { author = {Burak, G. and Karaca, I.}, title = {Digital Borsuk-Ulam theorem}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {2}, pages = {477-499}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {The aim of this paper is to compute a simplicial cohomology group of some specific digital images. Then we define ringand algebra structures of a digital cohomology with the cup product. Finally, we prove a special case of the Borsuk-Ulam theorem fordigital images.}, keywords = {Digital simplicial cohomology group,cup product,cohomology ring,cohomology algebra}, url = {http://bims.iranjournals.ir/article_944.html}, eprint = {http://bims.iranjournals.ir/article_944_a45df8ec79123292ec069242f7c794da.pdf} }