Abstract
Let $N$ be a hyperbolic 3-manifold and $B$ a component of the interior of $AH(\pi_1(N))$, the space of marked hyperbolic 3-manifolds homotopy equivalent to $N$. We will give topological conditions on $N$ sufficient to give $\mathcal{p}\in \overline{B}$ such that for every sufficiently small neighbourhood $V$ of $\mathcal{p}, V \bigcap B$ is disconnected. This implies that $\overline{B}$ is not a manifold with boundary.
Citation
K. Bromberg J. Holt. "Self-Bumping of Deformation Spaces of Hyperbolic 3-Manifolds." J. Differential Geom. 57 (1) 47 - 65, January, 2001. https://doi.org/10.4310/jdg/1090348089
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