Doyne's Theorem is a principle in the field of mathematics, specifically in the study of topology. It provides a way to understand the behavior of certain types of spaces, particularly in relation to their dimensional properties. The theorem helps mathematicians determine how different spaces can be transformed or related to one another. The theorem is particularly useful in the study of manifolds, which are spaces that locally resemble Euclidean space. By applying Doyne's Theorem, researchers can gain insights into the structure and characteristics of these manifolds, aiding in various applications across mathematics and related fields.