Unver Demir E.2024-07-222024-07-22201903549836http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/14670The work on digitizing subspaces of the 2-D Euclidean space with a certain digital approach is an important discipline in both digital geometry and topology. The present work considers Marcus-Wyse topological approach which was established for studying 2-D digital spaces, Z2. We introduce the digital singular homology groups of MA-spaces (M-topological space with an M-adjacency), and we compute singular homology groups of some certain MA-spaces, we give a formula for singular homology groups of 2-D simple closed MA-curves, and an algorithm for determining homology groups of an arbitrary MA-space. © 2019 Society of Thermal Engineers of Serbia.EnglishAll Open Access; Bronze Open AccessDigital geometryDigital singular homologyDigital spaceDigital topologyEuclidean spacesMA-mapMarcu-wyse topologySimple closed MA-curveSimple++Topological approachTopologyArticle10.2298/TSCI190906403U