Relative hyperbolization and aspherical bordisms: An addendum to “hyperbolization of polyhedra”

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Abstract

We give two versions of relative hyperbolization. We use the first version to prove that if (each component of) a closed manifold M is aspherical and if M is a boundary, then it is the boundary of an aspherical manifold. © Applied Probability Trust 2001.

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Davis, M. W., Januszkiewicz, T., & Weinberger, S. (2001). Relative hyperbolization and aspherical bordisms: An addendum to “hyperbolization of polyhedra.” Journal of Differential Geometry, 58(3), 535–541. https://doi.org/10.4310/jdg/1090348358

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