## Algebraic & Geometric Topology

### A universal bound for surfaces in 3-manifolds with a given Heegaard genus

#### Abstract

It is shown that for given positive integers $g$ and $b$, there is a number $C(g,b)$, such that any orientable compact irreducible 3-manifold of Heegaard genus $g$ has at most $C(g,b)$ disjoint, nonparallel incompressible surfaces with first Betti number $b1.

#### Article information

Source
Algebr. Geom. Topol., Volume 1, Number 1 (2001), 31-37.

Dates
Revised: 9 October 2000
Accepted: 9 October 2000
First available in Project Euclid: 21 December 2017

https://projecteuclid.org/euclid.agt/1513882582

Digital Object Identifier
doi:10.2140/agt.2001.1.31

Mathematical Reviews number (MathSciNet)
MR1796266

Zentralblatt MATH identifier
0967.57018

#### Citation

Eudave-Munoz, Mario; Shor, Jeremy. A universal bound for surfaces in 3-manifolds with a given Heegaard genus. Algebr. Geom. Topol. 1 (2001), no. 1, 31--37. doi:10.2140/agt.2001.1.31. https://projecteuclid.org/euclid.agt/1513882582

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