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Geometry & Topology Monographs 14
(2008) 49–62
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| 1 |
S A Bogatyĭ,
D L Gonçalves, E Kudryavtseva, H
Zieschang, The
minimal number of preimages under mappings of surfaces,
Mat. Zametki 75 (2004) 13–19 MR2053145 |
| 2 |
S Bogatyi, D L
Gonçalves, H Zieschang, The minimal number
of roots of surface mappings and quadratic equations in free
groups, Math. Z. 236 (2001) 419–452 MR1821299 |
| 3 |
S A Bogatyi,
E A Kudryavtseva, H Zieschang, On
intersections of closed curves on surfaces, preprint
(2004) |
| 4 |
S A Bogatyi,
E A Kudryavtseva, H Zieschang, On the
coincidence points of mappings of a torus into a surface,
Tr. Mat. Inst. Steklova 247 (2004) 15–34 MR2168160 |
| 5 |
L E J
Brouwer, Beweis der Invarianz des
n–dimensionalen Gebiets, Math. Ann. 71 (1911)
305–313 MR1511658 |
| 6 |
A L Edmonds,
Deformation of
maps to branched coverings in dimension two, Ann. of
Math. (2) 110 (1979) 113–125 MR541331 |
| 7 |
D B A
Epstein, The degree of a map, Proc. London Math.
Soc. (3) 16 (1966) 369–383 MR0192475 |
| 8 |
D L
Gonçalves, E Kudryavtseva, H Zieschang,
Roots of
mappings on nonorientable surfaces and equations in free
groups, Manuscripta Math. 107 (2002) 311–341
MR1906200 |
| 9 |
D L
Gonçalves, E Kudryavtseva, H Zieschang,
An algorithm for minimal number of intersection points of
curves on surfaces, Proc. Seminar on Vector and Tensor
Analysis 26 (2005) 139–167 |
| 10 |
D L
Gonçalves, E Kudryavtseva, H Zieschang,
Some
quadratic equations in the free group of rank 2, from:
"The Zieschang Gedenkschrift" (editors M Boileau, M
Scharlemann, R Weidmann), Geom. Topol. Monogr. 14 (2008)
219–294 |
| 11 |
D L
Gonçalves, H Zieschang, Equations in free groups
and coincidence of mappings on surfaces, Math. Z. 237
(2001) 1–29 MR1836771 |
| 12 |
R I Grigorchuk,
P F Kurchanov, H Zieschang, Equivalence
of homomorphisms of surface groups to free groups and some
properties of 3–dimensional handlebodies, from:
"Proceedings of th eInternational Conference on Algebra, Part 1
(Novosibirsk, 1989)", Contemp. Math. 131, Amer. Math. Soc.
(1992) 521–530 MR1175803 |
| 13 |
H Hopf, Zur Topologie der
Abbildungen von Mannigfaltigkeiten, Math. Ann. 102
(1930) 562–623 MR1512596 |
| 14 |
W Hurewicz,
Über Abbildungen von endlichdimensionalen Räumen
auf Teilmengen Cartesischer Räume, Sitzungsberichte
Preuss. Akad. Wiss., Phys.-Math. Kl. 24/25 (1933) 754–768
MR1362795 |
| 15 |
H Kneser, Glättung von
Flächenabbildungen, Math. Ann. 100 (1928)
609–617 MR1512504 |
| 16 |
H Kneser, Die kleinste
Bedeckungszahl innerhalb einer Klasse von
Flächenabbildungen, Math. Ann. 103 (1930)
347–358 MR1512626 |
| 17 |
A Y
Ol'shanskiĭ, Diagrams of
homomorphisms of surface groups, Sibirsk. Mat. Zh. 30
(1989) 150–171 MR1043443 |
| 18 |
P Olum, Mappings of manifolds and
the notion of degree, Ann. of Math. (2) 58 (1953)
458–480 MR0058212 |
| 19 |
R Skora, The degree of a map
between surfaces, Math. Ann. 276 (1987) 415–423
MR875337 |
| 20 |
V G Turaev,
O Y Viro, Intersection of loops in
two-dimensional manifolds. II. Free loops, Mat. Sb. (N.S.)
121(163) (1983) 359–369 MR708001 |
| 21 |
H Whitney, The self-intersections of a
smooth n–manifold in 2n–space, Ann. of
Math. (2) 45 (1944) 220–246 MR0010274 |
| 22 |
H Zieschang,
Alternierende Produkte in freien Gruppen, Abh. Math.
Sem. Univ. Hamburg 27 (1964) 13–31 MR0161901 |
| 23 |
H Zieschang, E
Vogt, H D Coldewey, Surfaces and planar
discontinuous groups, Lecture Notes in Mathematics 835,
Springer (1980) MR606743
Translated from the German by John Stillwell |
