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Any 3-manifold 1-dominates at most finitely many 3-manifolds of $S^3$-geometry

Authors: Claude Hayat-Legrand, Shicheng Wang and Heiner Zieschang
Journal: Proc. Amer. Math. Soc. 130 (2002), 3117-3123
MSC (2000): Primary 55M25, 54C05, 57M05
Published electronically: March 14, 2002
MathSciNet review: 1908938
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Abstract: Any 3-manifold 1-dominates at most finitely many 3-manifolds supporting $S^3$ geometry.

References [Enhancements On Off] (What's this?)

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Additional Information

Claude Hayat-Legrand
Affiliation: Department of Mathematics, University of Sabatier, Toulouse 31062, France

Shicheng Wang
Affiliation: Department of Mathematics, Peking University, Beijing 100871, People’s Republic of China

Heiner Zieschang
Affiliation: Department of Mathematics, Ruhr University, Bochum 44780, Germany

Keywords: 3-manifold, degree one map
Received by editor(s): November 17, 2000
Received by editor(s) in revised form: May 23, 2001
Published electronically: March 14, 2002
Additional Notes: The second author was partially supported by MSTC and Outstanding Youth Fellowships of NSFC
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2002 American Mathematical Society

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