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.
Publié le : 2010-10-15
Classification:
link,
topological classification,
Gauss word,
58K15,
58K40,
58K65
@article{1288703097,
author = {MOYA-P\'EREZ, J.A. and NU\~NO-BALLESTEROS, J.J.},
title = {The link of a finitely determined map germ from
R
<sup>2</sup> to
R
<sup>2</sup>},
journal = {J. Math. Soc. Japan},
volume = {62},
number = {1},
year = {2010},
pages = { 1069-1092},
language = {en},
url = {http://dml.mathdoc.fr/item/1288703097}
}
MOYA-PÉREZ, J.A.; NUÑO-BALLESTEROS, J.J. The link of a finitely determined map germ from
R
2 to
R
2. J. Math. Soc. Japan, Tome 62 (2010) no. 1, pp. 1069-1092. http://gdmltest.u-ga.fr/item/1288703097/