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1 results

  • Virtual 1-domination of 3-manifolds

  • Part of
  • Yi Liu, Hongbin Sun
  • Journal:
    Compositio Mathematica / Volume 154 / Issue 3 / March 2018
    Published online by Cambridge University Press:
    27 February 2018, pp. 621-639
    Print publication:
    March 2018

  • It is shown in this paper that given any closed oriented hyperbolic 3-manifold, every closed oriented 3-manifold is mapped onto by a finite cover of that manifold via a map of degree 1, or in other words, virtually 1-dominated by that manifold. This improves a known result of virtual 2-domination. The proof invokes a recently developed enhanced version of the connection principle in good pants constructions.