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Non-separable surfaces in cubed manifolds
Author(s):
Saburo
Matsumoto
Journal:
Proc. Amer. Math. Soc.
125
(1997),
3439-3446.
MSC (1991):
Primary 57Q35;
Secondary 57M50
MathSciNet review:
1415352
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Abstract:
We show that there are 3-manifolds with cubings of non-positive curvature such that their fundamental groups are not subgroup separable (LERF). We also give explicit examples of non-separable surfaces in certain cubed manifolds.
References:
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Additional Information:
Saburo
Matsumoto
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Victoria 3052 Australia
Address at time of publication:
Department of Mathematical and Computing Sciences, Tokyo Institute of Technoloy, O-okayama, Meguro-ku, Tokyo 152, Japan
Email:
saburo@is.titech.ac.jp
DOI:
10.1090/S0002-9939-97-04015-X
PII:
S 0002-9939(97)04015-X
Keywords:
Cubed manifolds,
separable surfaces
Received by editor(s):
February 5, 1996
Received by editor(s) in revised form:
June 24, 1996
Additional Notes:
The research partially supported by Australian Research Council.
The author would like to thank Prof. P. Scott for many helpful comments.
Communicated by:
R. Fintushel
Copyright of article:
Copyright
1997,
American Mathematical Society
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