  This article introduces proximal cell complexes in a hyperconnected space.
Hyperconnectedness encodes how collections of path-connected sub-complexes in a
Alexandroff-Hopf-Whitehead CW space are near to or far from each other. Several
main results are given, namely, a hyper-connectedness form of CW (Closure
Finite Weak topology) complex, the existence of continuous functions that are
paths in hyperconnected relator spaces and hyperconnected chains with
overlapping interiors that are path graphs in a relator space. An application
of these results is given in terms of the definition of cycles using the
centroids of triangles.
