  We study the quenching of the Haldane gap in quasi-one-dimensional systems of
weakly coupled spin-1 antiferromagnetic Heisenberg chains. The critical
interchain coupling Jc required to stabilize long range magnetic order can be
accurately determined from large scale quantum Monte Carlo calculations.
Several different geometries of coupled chains are studied, illustrating the
dependence of Jc on the coordination of chains. For bipartite geometries,
ferromagnetically coupled chains yield similar magnitudes for Jc.
