Non-separable surfaces in cubed manifolds
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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
- 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 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3439-3446
- MSC (1991): Primary 57Q35; Secondary 57M50
- DOI: https://doi.org/10.1090/S0002-9939-97-04015-X
- MathSciNet review: 1415352