Weak inclusions and digital spaces

Authors:
Giuseppe Di Maio;Jesús Rodríguez-López;José Manuel Sánchez-Álvarez
Affiliations:
Seconda Universití degli Studi di Napoli, Facoltí di Scienze, Dipartimento di Matematica, Via Vivaldi 43, 81100 Caserta, Italy;Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, 46022 Valencia, Spain;Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, 46022 Valencia, Spain
Venue:
Pattern Recognition Letters
Year:
2009

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Abstract

The aim of this paper is to establish a new mathematical model for digital spaces. We introduce the concept of weak inclusion. We will show that every digital space can be considered as a space endowed with a weak inclusion. This structure generates a pretopology which is compatible with the classical concept of connectedness for a digital space.