The classification of surfaces via normal curves

Fethi Ayaz; Marc Kegel; Klaus Mohnke

doi:10.1365/s13291-022-00265-5

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arXiv · 2208.00999

The classification of surfaces via normal curves

Fethi Ayaz·Marc Kegel·Klaus Mohnke

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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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BibTeX RIS

Fethi Ayaz, Marc Kegel, Klaus Mohnke. 2022-08-01. The classification of surfaces via normal curves. https://doi.org/10.1365/s13291-022-00265-5

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