Keragaman topologi

Melalui ketetapan domain, sebuah keragaman-"n" tidak bisa juga berupa keragaman-"m" untuk "n" ≠ "m". The dimension of a non-empty "n"-manifold is "n".
Being an "n"-manifold is a topological property, meaning that any topological space homeomorphic to an "n"-manifold is also an "n"-manifold.