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Total curvature equals Euler characteristic
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Classroom Contents
Introduction to Topology in Mathematics History
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- 1 Topology
- 2 Euler characteristic of a polyhedron
- 3 A polyhedron homeomorphic to a torus
- 4 H. Poincare 1895
- 5 Descartes/ letter to Leibniz 1676 studied curvature of polyhedron
- 6 Rational angle version to curvature
- 7 Total curvature equals Euler characteristic
- 8 B.Riemann 1826-1866- Complex functions
- 9 Riemann surfaces
- 10 Classification of 2 dimensional surfaces
- 11 List of all compact orientable surfaces
