👉 Weyn's theorem, named after Niels Henrik Weyl, is a fundamental result in topology and geometry that states that for any closed, connected subset of Euclidean space R3 (the three-dimensional plane), there exists a continuous function f from the interior to the boundary such that f(x) = 0 for all x in the closure of the set. This theorem has numerous applications in various fields including algebraic topology, differential geometry, and mathematical analysis.