15 citations · 125 across the 37 of their papers we have counts for
4 papers · 1 filter
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…
Descriptive Unions. A Fibre Bundle Characterization of the Union of Descriptively Near Sets
M. Z. Ahmad, J. F. Peters
This paper introduces an extension of descriptive intersection and provides a framework for descriptive unions of nonempty sets. Fibre bundles provide structures that characterize…
Proximal Vortex Cycles and Vortex Nerves. Non-Concentric, Nesting, Possibly Overlapping Homology Cell Complexes
J. F. Peters
This article introduces proximal planar vortex 1-cycles, resembling the structure of vortex atoms introduced by William Thomson (Lord Kelvin) in 1867 and recent work on the proximi…
Descriptive Cellular Homology
M. Z. Ahmad, J. F. Peters
This article introduces descriptive cellular homology on cell complexes, which is an extension of J.H.C. Whitehead's CW topology. A main result is that a descriptive cellular compl…