Set-Theoretical Algebraic Approaches to Connectivity in Continuous or Digital Spaces

@article{Ronse1998SetTheoreticalAA,
title={Set-Theoretical Algebraic Approaches to Connectivity in Continuous or Digital Spaces},
author={Christian Ronse},
journal={Journal of Mathematical Imaging and Vision},
year={1998},
volume={8},
pages={41-58}
}

Connectivity has been defined in the framework of topological spaces, but also in graphs; the two types of definitions do not always coincide. Serra gave a set of formal axioms for connectivity, which consists in a list of properties of the family of all connected subsets of a space; this definition includes as particular case connected sets in a… CONTINUE READING