Tag: metric-geometry

  • A brief history of three-dimensional manifolds

    We give a broad-brush account of some milestones in the theory of 3-dimensional manifolds, particularly the Poincaré Conjecture and its proof. We also discuss Thurston’s Geometrisation Programme.

  • Measuring angles within arbitrary metric spaces

    We will generalise the concept of angles in Euclidean space to any arbitrary metric space, via Alexandrov (upper) angles.