S. A. Bogatyi, D. L. Gonçalves, E. A. Kudryavtseva, H. Zieschang, “Minimal Number of Preimages Under Maps of Surfaces”, Mat. Zametki, 2004, Volume 75, Issue 1,Pages <nobr>13

This article is cited in 4 papers

Minimal Number of Preimages Under Maps of Surfaces

S. A. Bogatyi^a, D. L. Gonçalves^b, E. A. Kudryavtseva^a, H. Zieschang^c

^a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Universidade de São Paulo, Instituto de Matemática e Estatística
^c Ruhr-Universität Bochum

Abstract: 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.

UDC: 515.162.2

Received: 15.02.2001
Revised: 07.04.2003

DOI: 10.4213/mzm2