Volume 13, issue 2 (2013)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 26
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Amenable category of three–manifolds

José Carlos Gómez-Larrañaga, Francisco González-Acuña and Wolfgang Heil

Algebraic & Geometric Topology 13 (2013) 905–925
Bibliography
1 L Bessières, G Besson, S Maillot, M Boileau, J Porti, Geometrisation of 3-manifolds, EMS Tracts in Mathematics 13, European Mathematical Society (EMS), Zürich (2010) MR2683385
2 M Clapp, D Puppe, Invariants of the Lusternik–Schnirelmann type and the topology of critical sets, Trans. Amer. Math. Soc. 298 (1986) 603 MR860382
3 O Cornea, G Lupton, J Oprea, D Tanré, Lusternik–Schnirelmann category, Mathematical Surveys and Monographs 103, American Mathematical Society (2003) MR1990857
4 D B A Epstein, Projective planes in $3$-manifolds, Proc. London Math. Soc. 11 (1961) 469 MR0152997
5 B Evans, W Jaco, Varieties of groups and three-manifolds, Topology 12 (1973) 83 MR0322846
6 B Evans, L Moser, Solvable fundamental groups of compact $3$-manifolds, Trans. Amer. Math. Soc. 168 (1972) 189 MR0301742
7 J C Gómez-Larrañaga, F González-Acuña, Lusternik–Schnirelmann category of $3$-manifolds, Topology 31 (1992) 791 MR1191380
8 J C Gómez-Larrañaga, F González-Acuña, W Heil, Fundamental groups of manifolds with $S^1$-category 2, Math. Z. 259 (2008) 419 MR2390089
9 J C Gómez-Larrañaga, F González-Acuña, W Heil, Manifolds with $S^1$-category 2 have cyclic fundamental groups, Math. Z. 266 (2010) 783 MR2729291
10 F González-Acuña, W C Whitten, Imbeddings of three-manifold groups, Mem. Amer. Math. Soc. 99 (1992) MR1117167
11 M Gromov, Volume and bounded cohomology, Inst. Hautes Études Sci. Publ. Math. (1982) 5 MR686042
12 W Heil, W Whitten, The Seifert fiber space conjecture and torus theorem for nonorientable $3$-manifolds, Canad. Math. Bull. 37 (1994) 482 MR1303675
13 N V Ivanov, Foundations of the theory of bounded cohomology, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. $($LOMI$)$ 143 (1985) 69, 177 MR806562
14 P K Kim, D E Sanderson, Orientation-reversing PL involutions on orientable torus bundles over $S^{1}$, Michigan Math. J. 29 (1982) 101 MR646376
15 P K Kim, J L Tollefson, Splitting the PL involutions of nonprime $3$-manifolds, Michigan Math. J. 27 (1980) 259 MR584691
16 E Luft, D Sjerve, Involutions with isolated fixed points on orientable $3$-dimensional flat space forms, Trans. Amer. Math. Soc. 285 (1984) 305 MR748842
17 W H Meeks III, P Scott, Finite group actions on $3$-manifolds, Invent. Math. 86 (1986) 287 MR856847
18 S Negami, Irreducible $3$-manifolds with nontrivial $\pi _{2}$, Yokohama Math. J. 29 (1981) 133 MR649615
19 W D Neumann, F Raymond, Seifert manifolds, plumbing, $\mu $-invariant and orientation reversing maps, from: "Algebraic and geometric topology" (editor K C Millett), Lecture Notes in Math. 664, Springer (1978) 163 MR518415
20 H Seifert, Topologie dreidimensionaler gefaserter Räume, Acta Math. 60 (1933) 147 MR1555366
21 J Stallings, Grushko's theorem, II: Kneser's conjecture, Notices Amer. Math. Soc. 6 (1959) 531
22 J Tits, Free subgroups in linear groups, J. Algebra 20 (1972) 250 MR0286898