15 citations · 38 across the 16 of their papers we have counts for
Showing 2019 · math.GTShow all
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math.GT2019★ 3 cited
Vortex Nerves and their Proximities. Nerve Betti Numbers and Descriptive Proximity
James F. Peters
This article introduces vortex nerve complexes in CW (Closure finite Weak) topological spaces, which first appeared in works by P. Alexandroff, H. Hopf and J.H.C. Whitehead during…
math.GT2019
Ribbon Complexes & their Approximate Descriptive Proximities. Ribbon & Vortex Nerves, Betti Numbers and Planar Divisions
James F. Peters
This article introduces planar ribbons, Vergili ribbon complexes and ribbon nerves in Alexandroff-Hopf-Whitehead CW (Closure finite Weak) topological spaces. A {\em planar ribbon}…
math.GT2019
Ghrist Barcoded Video Frames. Application in Detecting Persistent Visual Scene Surface Shapes captured in Videos
Arjuna P. H. Don, James F. Peters
This article introduces an application of Ghrist barcodes in the study of persistent Betti numbers derived from vortex nerve complexes found in triangulations of video frames. A Gh…