Non-separable surfaces in cubed manifolds

Author:
Saburo Matsumoto

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

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Abstract | References | Similar Articles | Additional Information

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