Generalized digital $(k_0, k_1)$-homeomorphism
Sang-Eon Han · Università del Salento · 2009
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.