Milnor's Theorems
Milnor's Theorems refer to a set of results in differential topology, primarily associated with the work of mathematician John Milnor. These theorems explore the properties of differentiable manifolds, particularly focusing on the existence of exotic spheres and the classification of high-dimensional manifolds.
One of the most notable results is the discovery of exotic \mathbb{R^4}, which shows that there are distinct smooth structures on four-dimensional Euclidean space. Milnor's work has significantly influenced the field, leading to deeper insights into the topology of manifolds and the nature of smooth structures.