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Mathematical Sciences Letters
An International Journal


Volumes > Vol. 4 > No. 2


Some Properties of Homology Groups of Khalimsky Spaces

PP: 131-140
Tane Vergili, Ismet Karaca,
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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