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A Kleinian group with contractible quotient not simply connected at infinity

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Commentarii Mathematici Helvetici

Abstract

We give an example of a co-compact Kleinian group Γ which contains a subgroupΓ 0 having the property that ℝ3/Γ 0 is contractible but not simply connected at infinity.

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Authors and Affiliations

  1. Department of Mathematics, University of California, 93106-3080, CA, Santa Barbara, USA

    Daryl Cooper & Darren Long

Authors
  1. Daryl Cooper
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  2. Darren Long
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Research partially supported by NSF.

Research partially supported by NSF and Sloan Foundation.

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Cooper, D., Long, D. A Kleinian group with contractible quotient not simply connected at infinity. Commentarii Mathematici Helvetici 71, 41–59 (1996). https://doi.org/10.1007/BF02566408

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  • DOI: https://doi.org/10.1007/BF02566408

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