6533b7cffe1ef96bd12583cc
RESEARCH PRODUCT
The doodle of a finitely determined map germ from R2 to R3
W. L. MararJ. J. Nuño-ballesterossubject
Large classCombinatoricsIntersectionGeneral MathematicsTransversal (combinatorics)Image (category theory)Topological classificationGermMathematicsdescription
Let f:U⊂R2→R3 be a representative of a finitely determined map germ f:(R2,0)→(R3,0). Consider the curve obtained as the intersection of the image of the mapping f with a sufficiently small sphere Sϵ2 centered at the origin in R3, call this curve the associated doodle of the map germ f. For a large class of map germs the associated doodle has many transversal self-intersections. The topological classification of such map germs is considered from the point of view of the associated doodles.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-07-01 | Advances in Mathematics |