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math.AT2021
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…
math.GM2021★ 1 cited
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…
math.GR2021
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…