中文摘要：

对General Topology（J.L.Kelley,1955）中关于网的收敛类的定义进行修改,重新给出了网的收敛类的定义.这不仅简化了网的收敛类的定义.而且简化了收敛空间和拓扑空间在范畴意义下同构这一结论的证明过程.

英文摘要：

In this paper, the definition of convergence class of nets in the book called General Topology （J. L. Kelley, 1955） is modified,and the new definition of convergence class of nets is given. Further, the modified definition not only simplifies the definition of convergence class of nets, but also makes the proof of the conclusion that convergence space and topological space is categorically isomorphic to each other more easier.