Lecture 3
This commit is contained in:
parent
394cc8ddcf
commit
00cf1a93e7
1 changed files with 1 additions and 1 deletions
|
@ -140,7 +140,7 @@
|
|||
Then let $f(x)$ be the unique point in $X$
|
||||
such that
|
||||
\[
|
||||
\{f(x)\} = \bigcap_{n} U_{x \defon n} = \bigcap_{n} \overline{U_{x \defon n}.
|
||||
\{f(x)\} = \bigcap_{n} U_{x \defon n} = \bigcap_{n} \overline{U_{x \defon n}}.
|
||||
\]
|
||||
(This is nonempty as $X$ is a completely metrizable space.)
|
||||
It is clear that $f$ is injective and continuous.
|
||||
|
|
Reference in a new issue