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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Betti numbers and injectivity radii
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by Marc Culler and Peter B. Shalen
Proc. Amer. Math. Soc. 137 (2009), 3919-3922
DOI: https://doi.org/10.1090/S0002-9939-09-09966-3
Published electronically: June 18, 2009

Abstract:

We give lower bounds on the maximal injectivity radius for a closed hyperbolic 3-manifold with first Betti number 2 under some additional topological hypotheses.
References
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Bibliographic Information
  • Marc Culler
  • Affiliation: Department of Mathematics, Statistics, and Computer Science (M/C 249), University of Illinois at Chicago, 851 S. Morgan Street, Chicago, Illinois 60607-7045
  • Email: culler@math.uic.edu
  • Peter B. Shalen
  • Affiliation: Department of Mathematics, Statistics, and Computer Science (M/C 249), University of Illinois at Chicago, 851 S. Morgan Street, Chicago, Illinois 60607-7045
  • MR Author ID: 159535
  • Email: shalen@math.uic.edu
  • Received by editor(s): February 12, 2009
  • Published electronically: June 18, 2009
  • Additional Notes: This work was partially supported by NSF grants DMS-0504975 and DMS-0608567

  • Dedicated: Dedicated to José María Montesinos on the occasion of his 65th birthday
  • Communicated by: Daniel Ruberman
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 3919-3922
  • MSC (2000): Primary 57M50; Secondary 57N10
  • DOI: https://doi.org/10.1090/S0002-9939-09-09966-3
  • MathSciNet review: 2529901