20. Surface Classification

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a. Kerékjártó-Rado theorem (Every surface supports a map.)
b. Tree-cotree decompositions and systems of loops
c. Detaching handles by contracting two-sided loops
d. Classification of orientable surfaces
e. Detaching twists by contracting one-sided loops
f. Dyck's surface
g. Classification of all surfaces
h. Euler characteristics and discrete Gauss-Bonnet

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20. Surface Classification

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