According to the Topological Marriage Act, any two well-behaved surfaces (Hausdorff manifolds of finite genus) may marry if they can be sewn together along matching borders so the joint surface stays orientable and free of tears. Each partner brings an atlas of compatible coordinate charts, and together they must have at least one shared covering space so their local maps overlap nicely. During the ceremony they perform a homotopy that lets their fundamental groups shake hands without shrinking any non-trivial loops to a point, which protects the character of each partner’s holes. Afterward, the Euler characteristic of the union is taken as the simple average of the originals, a gesture of algebraic fairness. This marriage is valid in any ambient dimension and ignores metric choices, so long as consent is smooth, the connected sum remains compact or with boundary as agreed, and the resulting manifold supports positive valence under its natural symmetry group.