## Algebraic & Geometric Topology

### Degree one maps between small 3–manifolds and Heegaard genus

#### Abstract

We prove a rigidity theorem for degree one maps between small 3–manifolds using Heegaard genus, and provide some applications and connections to Heegaard genus and Dehn surgery problems.

#### Article information

Source
Algebr. Geom. Topol., Volume 5, Number 4 (2005), 1433-1450.

Dates
Accepted: 2 September 2005
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.agt/1513796483

Digital Object Identifier
doi:10.2140/agt.2005.5.1433

Mathematical Reviews number (MathSciNet)
MR2171816

Zentralblatt MATH identifier
1084.57016

#### Citation

Boileau, Michel; Wang, Shicheng. Degree one maps between small 3–manifolds and Heegaard genus. Algebr. Geom. Topol. 5 (2005), no. 4, 1433--1450. doi:10.2140/agt.2005.5.1433. https://projecteuclid.org/euclid.agt/1513796483

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