An Algebraic Method for the Application of the Constructive Proof of Classification Theorem for Closed and Connected Surfaces

Authors: Onurcan Bektaş

For a given planar diagram of a closed & connected surface, we establish an ”algebraic” method for cutting and gluing operations on the edges of the diagram. By this, by just manipulating the name of the edges with the given rules, with the guidance of the classification of closed and connected surface theorem given in [1], we can determine the type of the surface without having need to draw any diagram.

Comments: 3 Pages.

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Submission history

[v1] 2018-04-18 11:44:58
[v2] 2018-04-18 22:28:34
[v3] 2018-04-19 22:40:24

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