It is shown that for given positive integers and , there is a number , such that any orientable compact irreducible 3-manifold of Heegaard genus has at most disjoint, nonparallel incompressible surfaces with first Betti number .
"A universal bound for surfaces in 3-manifolds with a given Heegaard genus." Algebr. Geom. Topol. 1 (1) 31 - 37, 2001. https://doi.org/10.2140/agt.2001.1.31