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Essential closed surfaces in bounded 3-manifolds
Author(s):
D.
Cooper;
D.
D.
Long;
A.
W.
Reid
Journal:
J. Amer. Math. Soc.
10
(1997),
553-563.
MSC (1991):
Primary 57M50
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References:
- 1.
- J. W. Anderson, Closed essential surfaces in hyperbolizable acylindrical manifolds. Preprint.
- 2.
- B. Freedman & M.H. Freedman Haken finiteness for bounded
 -manifolds, locally free groups and cyclic covers. Preprint. - 3.
- D. Gabai On 3-manifolds finitely covered by surface bundles, In Low-dimensional Topology and Kleinian Groups, L. M. S. Lecture Note Series, vol 112, Ed. D. B. A. Epstein, pp 146-155, C. U. P. (1986). MR 88m:57021
- 4.
- J. Hempel. Residual finiteness for
 -Manifolds. In Combinatorial Group Theory and Topology. Ann. of Math. Studies, vol. 111 pp. 379 -396, P. U. P (1987). MR 89b:57002 - 5.
- J. Hempel. 3-manifolds. Ann. of Math. Studies, vol. 86, P. U. P. (1976). MR 54:3702
- 6.
- D.D. Long & G. Niblo. Subgroup Separability and
 -manifold groups. Math. Zeit. vol. 207 (1991), pp.209 - 215. MR 92g:20047 - 7.
- M. Scharlemann & Y. Q. Wu Hyperbolic manifolds and degenerating handle additions. J. Aust. Math. Soc. vol. 55 (1993) pp. 72 -89. MR 94e:57019
- 8.
- W.P. Thurston. The Geometry and Topology of 3-manifolds. Princeton University mimeographed notes. (1979)
- 9.
- W.P. Thurston. Three dimensional manifolds, Kleinian groups and hyperbolic geometry. Bull. A.M.S. vol 6 (1982) pp. 357 - 381. MR 83h:57019
- 10.
- F. Waldhausen. On irreducible three-manifolds which are sufficiently large. Ann. of Math. 87 (1968) pp. 56 - 68. MR 36:7146
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Additional Information:
D.
Cooper
Affiliation:
Department of Mathematics, University of California, Santa Barbara, California 93106
D.
D.
Long
Affiliation:
Department of Mathematics, University of California, Santa Barbara, California 93106
A.
W.
Reid
Affiliation:
Department of Mathematics, University of Texas, Austin, Texas 78712
Email:
areid@math.utexas.edu
DOI:
10.1090/S0894-0347-97-00236-1
PII:
S 0894-0347(97)00236-1
Received by editor(s):
September 5, 1996
Additional Notes:
The first two authors were partially supported by the NSF, and the third by the Royal Society.
Copyright of article:
Copyright
1997,
American Mathematical Society
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