Blumberg's theorem

Blumberg's theorem is a concept in mathematics concerning the properties of certain types of sets. Specifically, it states that a sequence of sets, which are each contained within a larger set, can only share a "limit point" if the larger set is compact. In simpler terms, if you have a collection of areas that get smaller and smaller, this theorem helps determine whether there's a common point where they all come together. It’s an important idea in areas like topology, which deals with the shape and structure of spaces.