CONNECTIVITY IN A-SPACES

Ezzeddine Bouassida (Tunisia) and Noômen Jarboui (Tunisia)

Received March 4, 2007

Abstract

Recall that an Alexandroff space (shortly A-space) is a topological space such that every point has a smallest neighborhood. These spaces were first introduced by Alexandroff [1] and have become relevant for the study of digital topology. The main purpose of this paper is to study the connectivity properties of these spaces (which we do not assume that they are

Keywords and phrases: topological space, Khalimsky topology, Alexandroff topology.