Mapping degree and Euler characteristic

Fukui, T.; Khovanskii, A.

Kodai Math. J., Tome 29 (2006) no. 1, p. 144-162 / Harvested from Project Euclid

Résumé

Let V_δ denote a local level surface for function-germ f:(Rⁿ⁺¹,0) → (R,0). A mapping degree formula for difference of the Euler characteristics of V_δ $\cap$ {g ≤ 0} and V_δ $\cap$ {g ≥ 0} is given, when level surfaces of a function g:(Rⁿ⁺¹,0) → (R,0) are parallelizable.

Publié le : 2006-03-14
Classification:

@article{1143122391,
     author = {Fukui, T. and Khovanskii, A.},
     title = {Mapping degree and Euler characteristic},
     journal = {Kodai Math. J.},
     volume = {29},
     number = {1},
     year = {2006},
     pages = { 144-162},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1143122391}
}

Fukui, T.; Khovanskii, A. Mapping degree and Euler characteristic. Kodai Math. J., Tome 29 (2006) no. 1, pp.  144-162. http://gdmltest.u-ga.fr/item/1143122391/