Tag: Atlases

• Differentiable Manifolds: Charts and Atlases That Bring Calculus to Curved SpacesWe introduce charts, transition maps and maximal atlases, build explicit atlases on the sphere, projective space and the torus, and define C^k functions and maps.MathematicsManifold TheoryGraduateManifoldsChartsAtlasesDifferentiable structureProjective space~30 min