7 citations · 23 across the 12 of their papers we have counts for
24 papers
Good Coverings of Proximal Alexandrov Spaces. Homotopic Cycles in Jordan Curve Theorem Extension
J. F. Peters, T. Vergili
This paper introduces proximal homotopic cycles, which lead to the main results in this paper, namely, extensions of the Mitsuishi-Yamaguchi Good Coverning Theorem with different f…
Homotopic Nerve Complexes with Free Group Presentations
J. F. Peters
This paper introduces homotopic nerve complexes in a planar Whitehead CW space and their Rotman free group presentations. Nerve complexes were introduced by P.S. Alexandrov during…
Fixed Point Property of Amenable Planar Vortexes
James F. Peters, Tane Vergili
This article introduces free group representations of planar vortexes in a CW space that are a natural outcome of results for amenable groups and fixed points found by M.M. Day dur…
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…