section_path: Main concepts/Spaces and subspaces/Surfaces
section_name: Surfaces
paragraph_text: Surfaces
  
  A surface is a two-dimensional object, such as a sphere or paraboloid. In differential geometry and topology, surfaces are described by two-dimensional 'patches' (or neighborhoods) that are assembled by diffeomorphisms or homeomorphisms, respectively. In algebraic geometry, surfaces are described by polynomial equations.