高等数学研究
高等數學研究
고등수학연구
STUDIES IN COLLEGE MATHEMATICS
2012年
6期
17-19
,共3页
距离%连续映射%拓扑空间%开集
距離%連續映射%拓撲空間%開集
거리%련속영사%탁복공간%개집
metric%continuous mapping%topological space%open set
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．
利用一般化方法就一道微積分題給齣幾種證明，併將結論推廣到一般拓撲空間．其過程展示瞭所得拓撲定理的形成思路，可作為開拓思維的範例．
이용일반화방법취일도미적분제급출궤충증명，병장결론추엄도일반탁복공간．기과정전시료소득탁복정리적형성사로，가작위개탁사유적범례．
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.
