Connectedness, Continuity, and Proximities in Temporal Digital Topology
arXiv:2306.14465
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.
14 pages, 7 figures