Classification of Closed Surfaces


Sanjay Kumar Singh School of Mathematics Tata Institute of Fundamental Research Homi Bhabha Road Mumbai 40000


Friday, 24 July 2009 (All day)


The classification theorem of closed surfaces states that any closed surface is homomorphic to some member of one of these three families:

1. the sphere
2. the connected sum of n tori
3. the connected sum of k real projective planes