Geodesic
Minimal Number of Preimages Under Maps of Surfaces
Matematičeskie zametki, Tome 75 (2004) no. 1, pp. 13-19

Voir la notice de l'article provenant de la source Math-Net.Ru

We compute the minimal number of roots of the equation $f(x)=c$ for a map $f(x)$ belonging to a given homotopy class of maps between closed (not necessarily oriented) surfaces. 
@article{MZM_2004_75_1_a1,
     author = {S. A. Bogatyi and D. L. Gon\c{c}alves and E. A. Kudryavtseva and H. Zieschang},
     title = {Minimal {Number} of {Preimages} {Under} {Maps} of {Surfaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {13--19},
     publisher = {mathdoc},
     volume = {75},
     number = {1},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_75_1_a1/}
}
TY  - JOUR
AU  - S. A. Bogatyi
AU  - D. L. Gonçalves
AU  - E. A. Kudryavtseva
AU  - H. Zieschang
TI  - Minimal Number of Preimages Under Maps of Surfaces
JO  - Matematičeskie zametki
PY  - 2004
SP  - 13
EP  - 19
VL  - 75
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2004_75_1_a1/
LA  - ru
ID  - MZM_2004_75_1_a1
ER  - 
%0 Journal Article
%A S. A. Bogatyi
%A D. L. Gonçalves
%A E. A. Kudryavtseva
%A H. Zieschang
%T Minimal Number of Preimages Under Maps of Surfaces
%J Matematičeskie zametki
%D 2004
%P 13-19
%V 75
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2004_75_1_a1/
%G ru
%F MZM_2004_75_1_a1
S. A. Bogatyi; D. L. Gonçalves; E. A. Kudryavtseva; H. Zieschang. Minimal Number of Preimages Under Maps of Surfaces. Matematičeskie zametki, Tome 75 (2004) no. 1, pp. 13-19. http://geodesic.mathdoc.fr/item/MZM_2004_75_1_a1/