Definition

Topological Manifold

Lie Groups and Lie Algebras · lie-groups.tex

A topological $n$-manifold is a Hausdorff, second-countable topological space $M$ (Definition~Topological Space) such that every point $p \in M$ has a neighbourhood homeomorphic (Definition~Continuous Map and Homeomorphism) to an open subset of $\mathbb{R}^n$.

Depends on

Topological Space
Continuous Map and Homeomorphism

Used in

Smooth Manifold

Dependency Graph

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