The Borsuk-Ulam Theorem is a fundamental result in topology, a branch of mathematics. It states that for any continuous function mapping points on a sphere in n-dimensional space to n-dimensional space, there exists at least one pair of antipodal points (points directly opposite each other) that map to the same point. This theorem has important implications in various fields, including mathematics, computer science, and economics. It highlights the inherent symmetry in certain mathematical structures and can be applied to problems involving fixed points and optimization.