Geometry & Topology Volume 16, issue 3 (2012)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

On the nonexistence of certain branched covers

Pekka Pankka and Juan Souto

Geometry & Topology 16 (2012) 1321–1344

DOI: 10.2140/gt.2012.16.1321

Bibliography

1	J W Alexander, Note on Riemann spaces, Bull. Amer. Math. Soc. 26 (1920) 370 MR1560318
2	I Berstein, A L Edmonds, The degree and branch set of a branched covering, Invent. Math. 45 (1978) 213 MR0474261
3	I Berstein, A L Edmonds, On the construction of branched coverings of low-dimensional manifolds, Trans. Amer. Math. Soc. 247 (1979) 87 MR517687
4	M Bonk, J Heinonen, Quasiregular mappings and cohomology, Acta Math. 186 (2001) 219 MR1846030
5	G E Bredon, Orientation in generalized manifolds and applications to the theory of transformation groups, Michigan Math. J. 7 (1960) 35 MR0116342
6	G E Bredon, Introduction to compact transformation groups, 46, Academic Press (1972) MR0413144
7	G E Bredon, Topology and geometry, 139, Springer (1997) MR1700700
8	A V Černavskiĭ, Finite-to-one open mappings of manifolds, Mat. Sb. 65 (107) (1964) 357 MR0172256
9	F Connolly, J F Davis, Q Khan, Topological rigidity and H₁–negative involutions on tori arXiv:1102.2660
10	H B Duan, S C Wang, Non-zero degree maps between 2n–manifolds, Acta Math. Sin. (Engl. Ser.) 20 (2004) 1 MR2056551
11	A L Edmonds, Deformation of maps to branched coverings in dimension three, Math. Ann. 245 (1979) 273 MR553345
12	M Gromov, Hyperbolic manifolds, groups and actions, from: "Riemann surfaces and related topics : Proceedings of the 1978 Stony Brook Conference (State Univ. New York, 1978)" (editors I Kra, B Maskit), Ann. of Math. Stud. 97, Princeton Univ. Press (1981) 183 MR624814
13	M Gromov, Metric structures for Riemannian and non-Riemannian spaces, 152, Birkhäuser (1999) MR1699320
14	A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
15	H M Hilden, Three-fold branched coverings of S³, Amer. J. Math. 98 (1976) 989 MR0425968
16	U Hirsch, Über offene Abbildungen auf die 3–Sphäre, Math. Z. 140 (1974) 203 MR0362313
17	J F P Hudson, Piecewise linear topology, , Benjamin (1969) MR0248844
18	M Iori, R Piergallini, 4–Manifolds as covers of the 4–sphere branched over non-singular surfaces, Geom. Topol. 6 (2002) 393 MR1914574
19	J M Montesinos, Three-manifolds as 3–fold branched covers of S³, Quart. J. Math. Oxford Ser. 27 (1976) 85 MR0394630
20	R Piergallini, Four-manifolds as 4–fold branched covers of S⁴, Topology 34 (1995) 497 MR1341805
21	S Rickman, Existence of quasiregular mappings, from: "Holomorphic functions and moduli, Vol. I (Berkeley, CA, 1986)" (editors D Drasin, C J Earle, F W Gehring, I Kra, A Marden), Math. Sci. Res. Inst. Publ. 10, Springer (1988) 179 MR955819
22	S Rickman, Quasiregular mappings, 26, Springer (1993) MR1238941
23	S Rickman, Simply connected quasiregularly elliptic 4–manifolds, Ann. Acad. Sci. Fenn. Math. 31 (2006) 97 MR2210111
24	C P Rourke, B J Sanderson, Introduction to piecewise-linear topology, , Springer (1982) MR665919
25	J Väisälä, Discrete open mappings on manifolds, Ann. Acad. Sci. Fenn. Ser. A I No. 392 (1966) 10 MR0200928