Paper 2, Section II, G
State the Seifert-Van Kampen Theorem. Deduce that if is a continuous map, where is path-connected, and is the space obtained by adjoining a disc to via , then is isomorphic to the quotient of by the smallest normal subgroup containing the image of .
State the classification theorem for connected triangulable 2-manifolds. Use the result of the previous paragraph to obtain a presentation of , where denotes the compact orientable 2 -manifold of genus .
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