Some properties of digital H-spaces

Authors : ÖZGÜR EGE, İSMET KARACA

Pages : 1930-1941

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper, we study certain properties of digital H-spaces. We prove that a digital image that has the same digital homotopy type with any digital H-space is also a digital H-space. We show that the digital fundamental group of a digital H-space is abelian. We give examples that are related to a digital homotopy associative H-space and a $\kappa $-contractible digital H-space. Several important applications of digital H-spaces are given in computer vision and image processing. Finally, we deal with the importance of digital H-space in digital topology and image processing. We conclude that any $\kappa $-contractible digital image is a digital H-space.
Keywords : Digital image, digital H space, digital H group, digital homotopy, image processing