nLab dimension of a manifold

Definition

A manifold whose charts are open subsets of the Cartesian space $\mathbb{R}^n$ is said to have dimension equal to $n \in \mathbb{N}$.

Related concepts

notion of dimension

• homotopy dimension

• cohomology dimension (virtual)

• covering dimension

• Heyting dimension

• dimension of a manifold

• dimension of a cell complex

• dimension of a separable metric space

• small inductive dimension of a regular space

• large inductive dimension of a normal space