  Nearness theory comes into play in homotopy theory because the notion of
closeness between points is essential in determining whether two spaces are
homotopy equivalent. While nearness theory and homotopy theory have different
focuses and tools, they are intimately connected through the concept of a
metric space and the notion of proximity between points, which plays a central
role in both areas of mathematics. This manuscript investigates some concepts
of homotopy theory in proximity spaces. Moreover, these concepts are taken into
account in descriptive proximity spaces.
