Lecture 3

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.