Bull. Austral. Math. Soc. 72(2) pp.331--334, 2005.
Poincaré duality pairs of dimension three
(abstract of PhD thesis)
Beatrice Bleile |
Thesis submitted to the University of Sydney, November
2004. Degree approved, February 2005.
Supervisor: Dr Jonathan A. Hillman
Click to download PDF of an extended abstract for this thesis (free access until July 2006)
| (Metadata: XML, RSS, BibTeX) | MathSciNet: MR2183415 | Z'blatt-MATH: 02246396 |
References
- W. Browder;
Surgery on simply connected manifolds (Springer--Verlag, Berlin, Heidelberg, New York, 1972). MR358813 - J. Crisp;
The decomposition of 3-dimensional Poincar{é} complexes,
Comment. Math. Helv. 75 (2000), pp. 232--246. MR1774703 - B. Eckmann and P. Linnell;
Poincar{é} duality groups of dimension two, II,
Comment. Math. Helv. 58 (1983), pp. 111--114. MR699010 - B. Eckmann and H. M{ü}ller;
Poincar{é} duality groups of dimension two,
Comment. Math. Helv. 55 (1980), pp. 510--520. MR604709 - S. Gitler and J.D. Stasheff;
The first exotic class of BF,
Topology 4 (1965), pp. 257--266. MR180985 - H. Hendriks;
Obstruction theory in 3-dimensional topology: An extension theorem,
J. London Math. Soc. (2) 16 (1977), pp. 160--164. MR454980 - J.A. Hillman;
On 3-dimensional Poincar{é} duality complexes and 2-knot groups,
Math. Proc. Camb. Phil. Soc. 114 (1993), pp. 215--218. MR1230128 - J.A. Hillman;
An indecomposable PD3-complex whose fundamental group has infinitely many ends,
Math. Proc. Camb. Phil. Soc 138 (2005), pp. 55--57. MR2127227 - P.J. Hilton;
Homotopy theory and duality (Gordon and Breach, New York, London, Paris, 1965). MR198466 - R.C. Kirby and L.C. Siebenmann;
Foundational essays on topological manifolds, smoothings and triangulations,
Annals of Mathematics Studies 88 (Princeton University Press, Princeton, N.J., 1977). MR645390 - R.G. Swan;
Periodic resolutions for finite groups,
Ann. of Math. 72 (1960), pp. 267--291. MR124895 - V.G. Turaev;
Three dimensional Poincar{é} complexes: Homotopy classification and splitting,
Math. Sb. 180 (1989), pp. 809--830. MR1015042 - C.T.C. Wall;
Poincar{é} complexes: I,
Ann. of Math. (2) 86 (1967), pp. 213--245. MR217791 - C.T.C. Wall;
Surgery on compact manifolds (Academic Press, London, New York, 1970). MR431216
ISSN 0004-9727

