Cohomology Theory for Digital Images
Articles > Article · 2013
Authors: Özgür EGE, İsmet KARACA
ROMANIAN JOURNAL OF INFORMATION SCIENCE AND TECHNOLOGY, Journal Indexed in SCI Expanded, International, 2013, vol 16, pp 10-28
Summary
In this paper we propose a mathematical framework that can be used for de fining cohomology of digital images. We state the Eilenberg-Steenrod axioms and the Universal Coefficient Theorem for this cohomology theory. We show that the Kunneth formula doesn't hold. A cup product is defined and its main properties are proved.