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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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.


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Additional Information

Claude Hayat-Legrand
Affiliation: Department of Mathematics, University of Sabatier, Toulouse 31062, France
Email: hayat@picard.ups-tlse.fr

Shicheng Wang
Affiliation: Department of Mathematics, Peking University, Beijing 100871, People’s Republic of China
Email: wangsc@math.pku.edu.cn

Heiner Zieschang
Affiliation: Department of Mathematics, Ruhr University, Bochum 44780, Germany
Email: marlene.schwarz@rz.ruhr-uni-bochum.de

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06438-9
PII: S 0002-9939(02)06438-9
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