Category Which Is Suitable for Studying Khalimsky Topological Spaces With Digital Connectivity

Abstract

Abstract. Let X n,k be a Khalimsky topological n dimensional subspace with digital k-connectivity. In relation to the classification of spaces X n,k , by comparing several kinds of continuities and homeomorphisms, the paper proposes a category which is suitable for studying the spaces X n,k .

Comparison of Continuities in Digital Topology

“…Digital topology including Khalimsky topology has been often used for studying various properties of objects in Z n [2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19].…”