CONTINUITIES AND HOMEOMORPHISMS IN COMPUTER TOPOLOGY AND THEIR APPLICATIONS
Sang-Eon Han · Journal of the Korean Mathematical Society · 2008
In this paper several continuities and homeomorphisms in computer topology are studied and their applications are investigated in relation to the classification of subs paces of Khalimsky n-dimensional space $({\mathbb{Z}}^n,\;T^n)$ . Precisely, the notions of K- $(k_0,\;k_1)$ -, $(k_0,\;k_1)$ -,KD- $(k_0,\;k_1)$ -continuities, and Khalimsky continuity as well as those of K- $(k_0,\;k_1)$ -, $(k_0,\;k_1)$ -, KD- $(k_0,\;k_1)$ -homeomorphisms, and Khalimsky homeomorphism are studied and further, their applications are investigated.