Non-separable surfaces in cubed manifolds

Matsumoto, Saburo

doi:10.1090/S0002-9939-97-04015-X

Non-separable surfaces in cubed manifolds
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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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