设拓扑空间<sub></sub>为T<sub>1</sub>空间,∞为任一不属于X的元素.令验证<sub></sub>为X*的拓扑,并且拓扑空间<sub></sub>为T

设拓扑空间<sub><img src='https://img2.soutiyun.com/ask/2020-08-10/965937797043895.png' /></sub>为T<sub>1</sub>空间,∞为任一不属于X的元素.令 <img src='https://img2.soutiyun.com/ask/2020-08-10/965937843858573.png' /> 验证<sub><img src='https://img2.soutiyun.com/ask/2020-08-10/965937876004412.png' /></sub>为X*的拓扑,并且拓扑空间<sub><img src='https://img2.soutiyun.com/ask/2020-08-10/96593793366871.png' /></sub>为T<sub>0</sub>而非T<sub>1</sub>空间.

时间:2024-03-01 12:36:49

相似题目