Connectedness, Continuity, and Proximities in Temporal Digital Topology
Algebraic Topology
2023-06-27 v1
Abstract
This paper introduces the structure and axioms for a temporal digital topology (TDT) with the focus on digital connectedness, continuity and proximities in TDT spaces. Results are given for temporal digital adjacencies, connectedness and proximities that occur in time-constrained digital topological spaces. The application for this work is a proximity space view of elapsed times present in every sequence of video frames.
Keywords
Cite
@article{arxiv.2306.14465,
title = {Connectedness, Continuity, and Proximities in Temporal Digital Topology},
author = {James Francis Peters and Tane Vergili},
journal= {arXiv preprint arXiv:2306.14465},
year = {2023}
}
Comments
14 pages, 7 figures