”so that their limit is the circle group T = R/Z.”に関する下記の質疑が、参考になる https://mathoverflow.net/questions/14487/the-continuous-as-the-limit-of-the-discrete The continuous as the limit of the discrete asked Feb 7, 2010 Matt Reading this documment: www.math.ucla.edu/~tao/preprints/compactness.pdf, I got interested in the following thing: "One can also use compacti?cations to view the continuous as the limit of the discrete; for instance, it is possible to compactify the sequence Z/2Z, Z/3Z, Z/4Z, etc. of cyclic groups, so that their limit is the circle group T = R/Z.". Could you give me a point of start to understand what idea of compactification is being used there? Where could I find an sketch of proof for that fact?
