15 citations · 125 across the 37 of their papers we have counts for
7 papers · 1 filter
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}…
Cardinality Estimations of Sets with Interval Uncertainties in Finite Topological Spaces
J. F. Peters, I. J. Dochviri
In this paper, we have established boundaries of cardinal numbers of nonempty sets in finite non- topological spaces using interval analysis. For a finite set with known cardi…
Ordered Line and Skew-Fields in the Desargues Affine Plane
Orgest Zaka, James F. Peters
This paper introduces ordered skew fields that result from the construction of a skew field over an ordered line in a Desargues affine plane. A special case of a finite ordered ske…
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…
Isomorphic-Dilations of the skew-fields constructed over parallel lines in the Desargues affine plane
Orgest Zaka, James F. Peters
This paper considers dilations and translations of lines in the Desargues affine plane. A dilation of a line transforms each line into a parallel line whose length is a multiple of…
Proximity Induced by Order Relations
M. Z. Ahmad, J. F. Peters
This paper introduces an order proximity on a collection of objects induced by a partial order using the Smirnov closeness measure on a Száz relator space. A Száz relator is a none…