Manifolds
= Manifolds
{wiki=Manifolds}
A manifold is a mathematical space that, in a small neighborhood around each point, resembles Euclidean space. Manifolds allow for the generalization of concepts from calculus and geometry to more abstract settings. \#\#\# Key Characteristics of Manifolds: 1. **Locally Euclidean**: Each point in a manifold has a neighborhood that is homeomorphic (topologically equivalent) to an open subset of Euclidean space \\( \\mathbb\{R\}^n \\).