利用一般化方法就一道微积分题给出几种证明,并将结论推广到一般拓扑空间.其过程展示了所得拓扑定理的形成思路,可作为开拓思维的范例.
By generalizing, this paper gathers several proofs for a calculus problem, and extends the conclusion to a general topological space. The thinking process shows how the topological theorem is concluded, which is an inspiring example for innovative thinking.