7 citations · 23 across the 12 of their papers we have counts for
9 papers · 1 filter
Amiable and Almost Amiable Fixed Sets. Extension of the Brouwer Fixed Point Theorem
James F. Peters
This paper introduces shape boundary regions in descriptive proximity forms of CW (Closure-finite Weak) spaces as a source of amiable fixed subsets as well as almost amiable fixed…
Descriptive Fixed Set Properties for Ribbon Complexes
James F. Peters, Tane Vergili
This article introduces descriptive fixed sets and their properties in descriptive proximity spaces viewed in the context of planar ribbon complexes. These fixed sets are a byprodu…
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…
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}…
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…
Hyperconnected Relator Spaces. CW Complexes and Continuous Function Paths that are Hyperconnected
M. Z. Ahmad, J. F. Peters
This article introduces proximal cell complexes in a hyperconnected space. Hyperconnectedness encodes how collections of path-connected sub-complexes in a Alexandroff-Hopf-Whitehea…