Any 3-manifold 1-dominates at most finitely many 3-manifolds of -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 | References | Similar Articles | Additional Information

Abstract: Any 3-manifold 1-dominates at most finitely many 3-manifolds supporting 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:
https://doi.org/10.1090/S0002-9939-02-06438-9

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