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math.GN2026
Nonexpansive Bijections in -Quasi-Metric Spaces and Their -Hyperconvex Hulls
Collins Amburo Agyingi
We study bijective nonexpansive maps in -quasi-metric spaces, distinguishing preservation of directed distances from pointwise rigidity. Our focus is their behaviour under pas…
math.AT2026
A Persistent Homology Signature of Knotting
Aurelie Jodelle Kemme, Collins A. Agyingi, Colleen Farrelly +1
We ask whether knotting can be recognised using persistent homology. Starting from a point-cloud representation of a curve, we compute one-dimensional persistent homology, extract…