Homeomorphism Classification Of Some Graphlike Manifolds With Special Contraction

The chief task of topology is to classify topological spaces and to study the topological invariance.In 1994,Liu Ya-xing and Li Qi-sheng introduced the concept of graphlike manifold.In this article,we introduce a simple method that compute the homeomorphism class of graphlike manifolds with special contraction and obtain some results of classification of graphlike manifolds.In the first chapter,we briefly introduce the background of the development of the graphlike manifold and some recent results.In the second chapter,we briefly introduce some notations,basic concepts, definitions and the main theorem.In the third chapter,we introduce a method that compute the distribution of negative edge of graphlike manifold and then obtain results of classification of some graphlike manifolds.