ON DIGITAL H-GROUPS

Abstract

In this paper, specific properties of digital H-spaces and digital H-groups are studied. It is shown that there is a contravariant functor from the homotopy category of the pointed digital images to the category of groups and homomorphisms. Then it is proven that a pointed digital image having the same digital homotopy type as a digital H-group is itself a digital H-group.

Keywords

• Digital image,digital homotopy,digital H-space,digital H-group

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