  Concerns decompositions of smooth 4-manifolds as the union of two
handlebodies, each with handles of index <=2 (``Heegard''
decompositions).Sample result: Two 2-complexes are (up to 2-deformation) dual
spines of a Heegard decomposition of the 4-sphere if and only if they satisfy
the conclusions of the Alexander-Lefshetz duality theorem ($H_1K\simeq H^2L$
and $H_2K\simeq H^1L$).
