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The present paper investigates some properties of the digital homology in [1, 4, 5] and points out some unclearness of the definition of a digital homology and further, suggests a suitable form of a digital homology. Finally, we calculate a digital homology group and a relative digital homology group of some digital wedge sums. Finally, the paper corrects some errors in [6]. In the present paper all digital images (X, k) are assumed to be non-empty and k-connected.
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참고문헌 (22)
참고문헌 신청
H. Arslan / 2008 / Homology groups of n-dimensional digital images, XXI / Turkish National Mathematics Symposium :1~13
L. Boxer / 1999 / A classical construction for the digital fundamental group / Jour. of Mathematical Imaging and Vision 10:51~62
L. Boxer / 2011 / Topological invariants in digital images / Journal of Mathematical Sciences: Advances and Applications 11:109~140
O. Ege / 2012 / Some results on simplicial homology groups 2D dig-ital images / International Jour. of Information and Computer Sci 1(8):198~203
O. Ege / 2013 / Fundamental properties of digital simplicial ho-mology groups / American Jour. of Computer and Technology and Applications 1(2):25~41
L. Boxer / 1999 / A classical construction for the digital fundamental group / Jour. of Mathematical Imaging and Vision 10:51~62
L. Boxer / 2011 / Topological invariants in digital images / Journal of Mathematical Sciences: Advances and Applications 11:109~140
O. Ege / 2012 / Some results on simplicial homology groups 2D dig-ital images / International Jour. of Information and Computer Sci 1(8):198~203
O. Ege / 2013 / Fundamental properties of digital simplicial ho-mology groups / American Jour. of Computer and Technology and Applications 1(2):25~41
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