Lecture 3

2023-10-17 13:08:17 +02:00 · 2023-10-17 13:08:17 +02:00 · 00cf1a93e7
commit 00cf1a93e7
parent 394cc8ddcf
1 changed files with 1 additions and 1 deletions
--- a/inputs/lecture_03.tex
+++ b/inputs/lecture_03.tex
@ -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.