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replaced broken Dropbox link with DOI; adjusted Markdown to add new lines where needed

This is shown in

MR1310882 (95m:05091)
Negami, Seiya (J-YOKOED)
Diagonal flips in triangulations of surfaces. (English summary)
Discrete Math. 135 (1994), no. 1-3, 225–232.

You can check it out. You will note that the argument uses some heavy lifting, unlike Hatcher's.

Igor Rivin
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