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added an elementary reference.
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Igor Rivin
Igor Rivin
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This fact is known as "the classification of surfaces". For a particularly non elementary view see http://www.math.uchicago.edu/~shmuel/tom-readings/ranicki-intro, chapter 4.

EDIT A particular elementary proof is here.

This fact is known as "the classification of surfaces". For a particularly non elementary view see http://www.math.uchicago.edu/~shmuel/tom-readings/ranicki-intro, chapter 4.

This fact is known as "the classification of surfaces". For a particularly non elementary view see http://www.math.uchicago.edu/~shmuel/tom-readings/ranicki-intro, chapter 4.

EDIT A particular elementary proof is here.

Source Link
Igor Rivin
Igor Rivin
  • 96.4k
  • 11
  • 153
  • 366

This fact is known as "the classification of surfaces". For a particularly non elementary view see http://www.math.uchicago.edu/~shmuel/tom-readings/ranicki-intro, chapter 4.