Abstract
In the current study, we explore digital homology modules, and investigate their fundamental properties on (pointed) digital images as one of the developments of symmetries. We also examine pointed digital Hopf spaces and base point preserving digital Hopf functions between pointed digital Hopf spaces with suitable digital multiplications, and explore the digital primitive homology classes, digital Pontryagin algebras on digital Hopf spaces as a symmetric phenomenon in mathematics and computer science.
Funder
National Research Foundation of Korea
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference37 articles.
1. Algebraic methods for multidimensional digital topology;McAndrew;Proc. SPIE,1993
2. A survey of algebraic methods in digital topology
3. Homology groups of n-dimensinal images;Arslan;Proc. XXI. Turkish Natl. Math. Sympos.,2008
4. Topological invariants in digital images;Boxer;J. Math. Sci. Adv. Appl.,2011
5. Digital homotopy fixed point theory
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