The engulfing property for 3-manifolds

Details The engulfing property for 3-manifolds The engulfing property for 3-manifolds

1998-10-27

arxiv.org/abs/math/9810198v1

Geom. Topol. Monogr. 1 (1998), 413-418

Mathematics

Geometric Topology

6 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper20.abs.html

Scientific paper

We show that there are Haken 3-manifolds whose fundamental groups do not
satisfy the engulfing property. In particular one can construct a
pi_1-injective immersion of a surface into a graph manifold which does not
factor through any proper finite cover of the 3-manifold.

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