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PDF-9.14Classi cationofSurfacesDe nition9.14.1Asurfaceisa2-dimensionalmani PDF document

Proposition9146TheEulercharacteristicofaconnectedsumofsurfacesS1andS2isgivenbyS1S2S1S22Thisisprovedbycountingthenumberofverticesedgesandfacesinanaturaltriangulationoftheconnectedsum

Proposition9.14.6TheEulercharacteristicofaconnectedsumofsurfacesS1andS2isgivenby(S1#S2)=(S1)+(S2)2(Thisisprovedbycountingthenumberofvertices edgesandfacesinanaturaltriangulationoftheconnectedsum.)

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9.14Classi cationofSurfacesDe nition9.14.1Asurfaceisa2-dimensionalmani: Transcript

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