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Non-separable surfaces in cubed manifolds


Author: 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.


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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: https://doi.org/10.1090/S0002-9939-97-04015-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
Article copyright: © Copyright 1997 American Mathematical Society