还有一个很有意思的现象,就是伴随着m的增长,Sm在逐渐的变大,所以Qm在逐渐的变小,所以我们就可以知道:Qm+1⊆Qm,而且又因为A是一个有界的闭集,所以从这两个条件,我们就可以联想到Cantor Intersection Theorem(使用的前提一定要是每一个Qm都非空),并且利用这个Theorem去推导出一个结果,那就是:⋂k=1∞Qk非...
References [1] gmachine1729:On the definition of a topological space and convergence in it [2] gmachine1729:More basic point-set topology definitions and properties [3] gmachine1729:My partially successful attempt at proving the Cantor-Schroder-Bernstein theorem 发布于 2021-05-11 23:31 ...