Some remarks about the topology of corank 2 map germs from R^2 to R^2

Journal of Singularities
volume 10 (2014), 200-224

Received 4 January 2013. Received in revised form 16 December 2013.

DOI: 10.5427/jsing.2014.10n

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Abstract:

Let f: (R^2, 0) -> (R^2, 0) be a finitely determined map germ. The link of f is obtained by taking a small enough representative f: U \subset R^2 - > R^2 and the intersection of its image with a small enough sphere centered at the origin in R^2. We will use Gauss words to classify topologically corank 2 map germs. In particular, we will center our attention in map germs that belong to the Thom-Boardman class \Sigma^{2, 0}.

Keywords:

Gauss word, link, finite determinacy

Mathematical Subject Classification:

Primary 58K15; Secondary 58K40, 58K60

Author(s) information: