The classification of surfaces via normal curves

2022/08/01 by Ayaz, Fethi, Kegel, Marc, Mohnke, Klaus · 1 citation
#57M12 #57M25 #57R65 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2208.00999

Abstract

We present a simple proof of the surface classification theorem using normal curves. This proof is analogous to Kneser's and Milnor's proof of the existence and uniqueness of the prime decomposition of 3-manifolds. In particular, we do not need any invariants from algebraic topology to distinguish surfaces.

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