An ''n''-dimensional manifold (or ''n''-manifold) ''M'' is a [[topological space]] such that every point in ''M'' has a neighbourhood that is [[homeomorphism|homeomorphic]] to ''R''<sup>''n''</sup>. | An ''n''-dimensional manifold (or ''n''-manifold) ''M'' is a [[topological space]] such that every point in ''M'' has a neighbourhood that is [[homeomorphism|homeomorphic]] to ''R''<sup>''n''</sup>. |