Hyperspaces and Function Graphs in Digital Topology

2021/08/30 by Laurence A. Boxer, Boxer, Laurence
Computer Science · #54B20 #Cognitive Computing and Networks #Computability, Logic, AI Algorithms #Digital Image Processing Techniques #FOS: Mathematics #Geometric Topology (math.GT)

paper · pdf · doi:10.48550/arxiv.2108.13310

openalex publication_date 2021/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We adapt the study of hyperspaces and function spaces from classical topology to digital topology. We define digital hyperspaces and digital function graphs, and study some of their relationships and graphical properties.

Related

• Introduction to the theory of digital spaces
• On digital H-spaces
• Homotopy Theory in Digital Topology
• Hyperspaces in topological Categories
• Essential concepts of digital topology (digital k-connectivity and k-adjacencis for digital products)