Generalized digital  -homeomorphism

doi:10.1285/i15900932v22n2p157

Generalized digital $(k_0, k_1)$ -homeomorphism

Sang-Eon Han

Abstract

The aim of this paper is to introduce a generalized digital $(k_0, k_1)$ -homeomorphism of the digital curve and the digital surface in $\mathbb{Z}^n$ . The generalized digital $(k_0, k_1)$ -continuity is studied with the $n$ kinds of $k$ -adjacency relations in $\mathbb{Z}^n$ . The $k$ -type digital fundamental group of the digital image comes from the generalized digital $(k_0, k_1)$ -homotopy, $i \in \{0, 1\}$ . Furthermore, we show how a digital $(k_0, k_1)$ -homeomophism induces a digital fundamental group $(k_0, k_1)$ -isomorphism.