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Geometrical class and degree for surfaces in three-space

Geometrical class and degree for surfaces in three-space

We consider immersions and embeddings/: M -» E 3 of a closed surface M into euclidean three-space E 3 , in the smooth (C°°) and the polyhedral ( = piecewise linear = PL) category.Occasionally we will mention the topological category.For any line / in E 3 we can choose the …