The engulfing property for 3-manifolds
Geometric Topology
2009-09-25 v1
Abstract
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.
Cite
@article{arxiv.math/9810198,
title = {The engulfing property for 3-manifolds},
author = {Graham A. Niblo and Daniel T. Wise},
journal= {arXiv preprint arXiv:math/9810198},
year = {2009}
}
Comments
6 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper20.abs.html