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Remarks on digital deformation


Abstract


The paper [5] defines a notion of digital deformation and claims to prove that if (X, p) is k-deformable into (A, p), then these two pointed images have isomorphic fundamental groups. We present a simple counterexample to this claim.

DOI Code: 10.1285/i15900932v28n1p69

Keywords: digital image; digitally continuous; deformation; homotopy; fundamental group; digital topology

Classification: 55Q99; 62HR35; 68U10

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