The excision theorem for digital Khalimsky spaces
Articles > Article · 2018
Authors: Tane Vergili, İsmet KARACA
New Trends in Mathematical Science, International, 2018, vol 2, pp 226-237
Summary
Unlike the digital images, Khalimsky digital spaces have topological structures in addition to their adjacency relations.The construction of their digital singular homology groups is given in [23].The functorial properties of digital singular homology theory allow us to characterize and classify the digital spaces.In algebraic topology, additivity and excision axioms are one of Eilenberg-Steenrod axioms in homology theory and in this paper, we check their validity for digital singular homology theory.