In differential geometry, an atlas is a collection of charts that together cover a manifold. Each chart consists of a homeomorphism from an open subset of the manifold to an open subset of a Euclidean space, allowing for smooth transitions between different parts of the manifold. This concept is essential for defining smooth structures on manifolds and facilitates the understanding of their geometric and topological properties.
congrats on reading the definition of Atlas. now let's actually learn it.