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.

DOI Code: 10.1285/i15900932v22n2p157

Keywords: Digital (k₀, k₁)-continuity; Digital $(k₀, k₁)$-homeomorphism; Digital curve; Digital surface

Classification: 55P10; 55P15

Full Text: PDF

This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.

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Note di Matematica

Generalized digital -homeomorphism

Abstract

Generalized digital $(k_0, k_1)$ -homeomorphism