SOME RESULTS ON HEEGAARD SPLITTING Dedicated to Professor Banghe LI on the occasion of his 80th birthday

摘要

A Heegaard splitting is a type of combinatorial structure on an orientable compact 3-manifold.We will give a survey on Heegaard spliting and its applications,including those pertaining to the classification and stabilization problem,reducibilities,minimal Heegaard splitting and Heegaard distance.