The engulfing property for 3-manifolds
classification
🧮 math.GT
keywords
engulfingmanifoldmanifoldspropertyconstructcoverfactorfinite
read the original 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.
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