Geometry & Topology Volume 11, issue 3 (2007)

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

Desingularizing homology manifolds

J Bryant, S Ferry, W Mio and S Weinberger

Geometry & Topology 11 (2007) 1289–1314

DOI: 10.2140/gt.2007.11.1289

Bibliography

1	M Bestvina, Characterizing $k$–dimensional universal Menger compacta, Mem. Amer. Math. Soc. 71 (1988) MR920964
2	M Brown, Some applications of an approximation theorem for inverse limits, Proc. Amer. Math. Soc. 11 (1960) 478 MR0115157
3	J L Bryant, General position theorems for generalized manifolds, Proc. Amer. Math. Soc. 98 (1986) 667 MR861772
4	J Bryant, S Ferry, W Mio, S Weinberger, Topology of homology manifolds, Ann. of Math. $(2)$ 143 (1996) 435 MR1394965
5	A V Cernavskii, A generalization of Keldysh's construction of a monotone map of a cube onto a cube of higher dimension, Russian Math. Surveys 40 (1985) 165
6	T A Chapman, Approximation results in topological manifolds, Mem. Amer. Math. Soc. 34 (1981) MR634341
7	T A Chapman, L C Siebenmann, Finding a boundary for a Hilbert cube manifold, Acta Math. 137 (1976) 171 MR0425973
8	R J Daverman, L S Husch, Decompositions and approximate fibrations, Michigan Math. J. 31 (1984) 197 MR752256
9	J Dugundji, Topology, Allyn and Bacon (1978) MR0478089
10	R D Edwards, The topology of manifolds and cell-like maps, from: "Proceedings of the International Congress of Mathematicians (Helsinki, 1978)", Acad. Sci. Fennica (1980) 111 MR562601
11	S Ferry, Epsilon-delta surgery over $\mathbb{Z}$
12	S Ferry, A stable converse to the Vietoris–Smale theorem with applications to shape theory, Trans. Amer. Math. Soc. 261 (1980) 369 MR580894
13	S C Ferry, E K Pedersen, Epsilon surgery theory, from: "Novikov conjectures, index theorems and rigidity, Vol. 2 (Oberwolfach, 1993)", London Math. Soc. Lecture Notes 227, Cambridge Univ. Press (1995) 167 MR1388311
14	M W Hirsch, On normal microbundles, Topology 5 (1966) 229 MR0198490
15	C B Hughes, Approximate fibrations on topological manifolds, Michigan Math. J. 32 (1985) 167 MR783571
16	K Kawamura, An inverse system approach to Menger manifolds, Topology Appl. 61 (1995) 281 MR1317082
17	R C Lacher, Cell-like mappings and their generalizations, Bull. Amer. Math. Soc. 83 (1977) 495 MR0645403
18	E K Pedersen, F Quinn, A Ranicki, Controlled surgery with trivial local fundamental groups, from: "High-dimensional manifold topology", World Sci. Publ., River Edge, NJ (2003) 421 MR2048731
19	F Quinn, Ends of maps. I, Ann. of Math. $(2)$ 110 (1979) 275 MR549490
20	F Quinn, Resolutions of homology manifolds, and the topological characterization of manifolds, Invent. Math. 72 (1983) 267 MR700771
21	C P Rourke, B J Sanderson, Introduction to piecewise-linear topology, Springer Study Edition, Springer (1982) MR665919
22	C T C Wall, Surgery on compact manifolds, London Math. Soc. Monographs 1, Academic Press (1970) MR0431216