Essential closed surfaces in bounded 3-manifolds

Authors:
D. Cooper, D. D. Long and A. W. Reid

Journal:
J. Amer. Math. Soc. **10** (1997), 553-563

MSC (1991):
Primary 57M50

MathSciNet review:
1431827

Full-text PDF Free Access

References | Similar Articles | Additional Information

**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.**David Gabai,*On 3-manifolds finitely covered by surface bundles*, Low-dimensional topology and Kleinian groups (Coventry/Durham, 1984), London Math. Soc. Lecture Note Ser., vol. 112, Cambridge Univ. Press, Cambridge, 1986, pp. 145–155. MR**903863****4.**John Hempel,*Residual finiteness for 3-manifolds*, Combinatorial group theory and topology (Alta, Utah, 1984) Ann. of Math. Stud., vol. 111, Princeton Univ. Press, Princeton, NJ, 1987, pp. 379–396. MR**895623****5.**John Hempel,*3-Manifolds*, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1976. Ann. of Math. Studies, No. 86. MR**0415619****6.**D. D. Long and G. A. Niblo,*Subgroup separability and 3-manifold groups*, Math. Z.**207**(1991), no. 2, 209–215. MR**1109662**, 10.1007/BF02571384**7.**Martin Scharlemann and Ying Qing Wu,*Hyperbolic manifolds and degenerating handle additions*, J. Austral. Math. Soc. Ser. A**55**(1993), no. 1, 72–89. MR**1231695****8.**W.P. Thurston.*The Geometry and Topology of 3-manifolds.*Princeton University mimeographed notes. (1979)**9.**William P. Thurston,*Three-dimensional manifolds, Kleinian groups and hyperbolic geometry*, Bull. Amer. Math. Soc. (N.S.)**6**(1982), no. 3, 357–381. MR**648524**, 10.1090/S0273-0979-1982-15003-0**10.**Friedhelm Waldhausen,*On irreducible 3-manifolds which are sufficiently large*, Ann. of Math. (2)**87**(1968), 56–88. MR**0224099**

Retrieve articles in *Journal of the American Mathematical Society*
with MSC (1991):
57M50

Retrieve articles in all journals with MSC (1991): 57M50

Additional Information

**D. Cooper**

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:
https://doi.org/10.1090/S0894-0347-97-00236-1

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.

Article copyright:
© Copyright 1997
American Mathematical Society