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SINGULAR HOMOLOGY ALGORITHM FOR MA-SPACES

ABSTRACT
The work on digitizing subspaces of the 2-dimensional 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-dimensional 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-dimensional simple closed MA-curves, and an algorithm for determining homology groups of an arbitrary MA-space.
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PAPER SUBMITTED: 2019-09-06
PAPER REVISED: 2019-10-10
PAPER ACCEPTED: 2019-10-14
PUBLISHED ONLINE: 2019-11-02
DOI REFERENCE: https://doi.org/10.2298/TSCI190906403U
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 6, PAGES [S2139 - S2147]
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© 2020 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence