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Proceedings of the American Mathematical Society

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ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Non-separable surfaces in cubed manifolds
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by Saburo Matsumoto PDF
Proc. Amer. Math. Soc. 125 (1997), 3439-3446 Request permission

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
  • 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