section_path: Main concepts/Spaces and subspaces/Manifolds
section_name: Manifolds
paragraph_text: Manifolds
  
  A manifold is a generalization of the concepts of curve and surface. In topology, a manifold is a topological space where every point has a neighborhood that is homeomorphic to Euclidean space. In differential geometry, a differentiable manifold is a space where each neighborhood is diffeomorphic to Euclidean space.
  
  Manifolds are used extensively in physics, including in general relativity and string theory.