c*******h 发帖数: 1096 | 1 the set of limit points of a sequence consists either of a single point or a
continuum |
c*******h 发帖数: 1096 | 2 yes, R^n enough. i guess for R^n * R^n it would be similar |
H****h 发帖数: 1037 | 3 不正确吧。你可以有极限点集为空集的情况,也可能是有限个分立的点组成。
a
【在 c*******h 的大作中提到】 : the set of limit points of a sequence consists either of a single point or a : continuum
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c*******h 发帖数: 1096 | 4 the statement might not have been rigorously stated
and that's why i need to see a proof for that---i even need to see
the complete proposition
roughly speaking, this makes sense, except for some special cases.
say, a sine wave has limits ranging -1 to 1.
if you happen to know some similar statement in a book, please let me know.
thank you very much
【在 H****h 的大作中提到】 : 不正确吧。你可以有极限点集为空集的情况,也可能是有限个分立的点组成。 : : a
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H****h 发帖数: 1037 | 5 你可能想说是一条末端开放的曲线的极限点集。
【在 c*******h 的大作中提到】 : the statement might not have been rigorously stated : and that's why i need to see a proof for that---i even need to see : the complete proposition : roughly speaking, this makes sense, except for some special cases. : say, a sine wave has limits ranging -1 to 1. : if you happen to know some similar statement in a book, please let me know. : thank you very much
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c*******h 发帖数: 1096 | 6 看起来不大像
其实那句话是一片文章cite一本书的时候说的
那本书我已经向图书馆要了,也不知道何年何月才能要到
【在 H****h 的大作中提到】 : 你可能想说是一条末端开放的曲线的极限点集。
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R*********r 发帖数: 1855 | |