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
|
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
|
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
|
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。
|
R*********r
发帖数: 1855 | |
