Volume 14, issue 2 (2014)

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

Volume 24
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

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
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Aspherical manifolds that cannot be triangulated

Michael W Davis, Jim Fowler and Jean-François Lafont

Algebraic & Geometric Topology 14 (2014) 795–803
Bibliography
1 S Akbulut, J D McCarthy, Casson's invariant for oriented homology $3$–spheres, Mathematical Notes 36, Princeton Univ. Press (1990) MR1030042
2 E Alibegović, A combination theorem for relatively hyperbolic groups, Bull. London Math. Soc. 37 (2005) 459 MR2131400
3 I Belegradek, Aspherical manifolds with relatively hyperbolic fundamental groups, Geom. Dedicata 129 (2007) 119 MR2353987
4 R M Charney, M W Davis, Strict hyperbolization, Topology 34 (1995) 329 MR1318879
5 M W Davis, T Januszkiewicz, Hyperbolization of polyhedra, J. Differential Geom. 34 (1991) 347 MR1131435
6 M W Davis, T Januszkiewicz, S Weinberger, Relative hyperbolization and aspherical bordisms: An addendum to “Hyperbolization of polyhedra”, J. Differential Geom. 58 (2001) 535 MR1906785
7 R D Edwards, The topology of manifolds and cell-like maps, from: "Proceedings of the International Congress of Mathematicians" (editor O Lehto), Acad. Sci. Fennica (1980) 111 MR562601
8 M H Freedman, The topology of four-dimensional manifolds, J. Differential Geom. 17 (1982) 357 MR679066
9 D E Galewski, R J Stern, Simplicial triangulations of topological manifolds, from: "Algebraic and geometric topology, Part 2" (editor R J Milgram), Proc. Sympos. Pure Math. 32, Amer. Math. Soc. (1978) 7 MR520518
10 D E Galewski, R J Stern, A universal $5$–manifold with respect to simplicial triangulations, from: "Geometric topology (Proc. Georgia Topology Conf.)" (editor J C Cantrell), Academic Press (1979) 345 MR537740
11 D E Galewski, R J Stern, Classification of simplicial triangulations of topological manifolds, Ann. of Math. 111 (1980) 1 MR558395
12 M Gromov, Hyperbolic groups, from: "Essays in group theory" (editor S M Gersten), Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
13 R C Kirby, L C Siebenmann, Foundational essays on topological manifolds, smoothings, and triangulations, Princeton Univ. Press (1977) MR0645390
14 C Manolescu, $\mathrm{Pin}(2)$–equivariant Seiberg–Witten Floer homology and the triangulation conjecture arXiv:1303.2354
15 T Matumoto, Triangulation of manifolds, from: "Algebraic and geometric topology Part 2" (editor R J Milgram), Proc. Sympos. Pure Math. 32, Amer. Math. Soc. (1978) 3 MR520517
16 D V Osin, Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems, Mem. Amer. Math. Soc. 843, Amer. Math. Soc. (2006) MR2182268
17 N Saveliev, Invariants for homology $3$–spheres, Encyclopaedia of Mathematical Sciences 140, Springer (2002) MR1941324
18 L C Siebenmann, Are nontriangulable manifolds triangulable?, from: "Topology of Manifolds (Proc. Inst., Univ. of Georgia)" (editors J C Cantrell, C H Edwards), Markham, Chicago, Ill. (1970) 77 MR0271956