Room P12, Mathematics Building

William Goldman, University of Maryland

Projective geometry on manifolds I

Geometric structures on topological spaces

  • Klein geometries.
  • Geometric atlases for Ehresmann structures.
  • Fundamental domains and identification spaces.
  • Developing the universal covering space.
  • Representions of the fundamental group.
  • The hierarchy of Klein geometries.
  • Pathological developing maps.