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Some Properties of Homology Groups of Khalimsky Spaces |
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PP: 131-140 |
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Author(s) |
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Tane Vergili,
Ismet Karaca,
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Abstract |
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In this paper we introduce the digital singular homology groups of the digital spaces topologized by the Khalimsky topology
by constructing the digital standard n-simplexes. Then we’ll compute the digital singular homology groups of some basic digital spaces
up to the dimension 2 and investigate that the digital singular homology theory for the digital spaces is a functor from the category
KDTC of KD-topological category to the category Ab of abelian groups. |
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