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arXiv · 2306.14465

Connectedness, Continuity, and Proximities in Temporal Digital Topology

James Francis Peters·Tane Vergili
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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.

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James Francis Peters, Tane Vergili. 2023-06-26. Connectedness, Continuity, and Proximities in Temporal Digital Topology. https://arxiv.org/abs/2306.14465

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