The Reeb Graph of a Map Germ from $$\mathbb {R}^3$$ R 3 to $$\mathbb {R}^2$$ R 2 with Non Isolated Zeros

Author:

Batista Erica Boizan,Costa João Carlos FerreiraORCID,Nuño-Ballesteros Juan J.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference16 articles.

1. Arnold, V.I.: Topological classification of Morse functions and generalisations of Hilbert’s 16-th problem. Math. Phys. Anal. Geom. 10, 227–236 (2007)

2. Batista, E.B.: Sobre a classificação topológica de germes finitamente determinados de $${\mathbb{R}}^3$$ R 3 em $${\mathbb{R}}^2$$ R 2 . PhD thesis, UNESP - São José do Rio Preto (2015)

3. Batista, E.B., Costa, J.C.F., Nuño-Ballesteros, J.J.: The Reeb graph of a map germ from $${\mathbb{R}}^3$$ R 3 to $${\mathbb{R}}^2$$ R 2 with isolated zeros. Proc. Edinb. Math. Soc. 60, 319–348 (2017)

4. Batista, E.B., Costa, J.C.F., Nuño-Ballesteros, J.J.: The cone structure theorem for map-germs with non isolated zeros. Preprint (2017). Avaliable at www.uv.es/nuno/Preprints/Cone.pdf

5. Batista, E.B., Costa, J.C.F., Nuño-Ballesteros, J.J.: The generalized Reeb graph of stable functions. Preprint (2016)

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