Überrounded
Überrounded is a concept in mathematics, specifically in the field of topology, that describes a type of space where every point is surrounded by a neighborhood that is homeomorphic to a closed ball. This concept is a generalization of the idea of a manifold, which is a space where every point has a neighborhood that is homeomorphic to an open ball. The term "überrounded" was coined by topologists to emphasize the difference between these two types of spaces.
In an überrounded space, the neighborhoods are closed, meaning they include their boundary points. This property
One of the key characteristics of überrounded spaces is that they are locally compact, meaning that every
Überrounded spaces are also closely related to the concept of a locally Euclidean space, which is a
In summary, überrounded spaces are a type of topological space where every point is surrounded by a