6533b870fe1ef96bd12cfba3
RESEARCH PRODUCT
The link of a finitely determined map germ from R 2 to R 2
J. J. Nuño-ballesterosJ.a. Moya-pérezsubject
topological classificationGeneral MathematicsImage (category theory)GaussTopological classificationlink58K4058K65Gauss wordCombinatorics58K15IntersectionTheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITYGermLink (knot theory)Word (group theory)Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-10-01 |