The link of a finitely determined map germ from <i><b>R</b></i><sup>2</sup> to <i><b>R</b></i><sup>2</sup>

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  • The link of a finitely determined map germ from R[2] to R[2]

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Abstract

Let f: (R2, 0) → (R2, 0) be a finitely determined map germ. The link of f is obtained by taking a small enough representative f: U ⊂ R2 → R2 and the intersection of its image with a small enough sphere Sε1 centered at the origin in R2. We will describe the topology of f in terms of the Gauss word associated to its link.

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