👉 In mathematics, a coessential space is a type of topological space that satisfies certain properties. These spaces are characterized by having a natural topology and being locally compact, which means that for any open set U in the space, there exists an open neighborhood V of U such that V contains all but one point of U.
A coessential space is defined as a topological space X with the following three properties:
1.
Topology
: The topology on X is defined by the natural topology (