Some properties of digital H-spaces

Makaleler > Tam Makale · 2016

Yazarlar: Özgür EGE, İsmet KARACA

TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2016, cilt 24, ss 1930-1941

DOI: 10.3906/elk-1311-69

Özet

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.

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