update and fix typo

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2025-03-03 12:34:00 -06:00
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# Math4121 Lecture 18
# Math 4121 Lecture 18
## Continue
@@ -10,7 +10,7 @@ By modifying this example, we can find similar with any outer content between 0
#### Definition: Perfect Set
$S\subsetes[0,1]$ is perfect if $S=S'$.
$S\subseteq[0,1]$ is perfect if $S=S'$.
Example:
@@ -28,7 +28,7 @@ Let $C_0=[0,1]$, $C_1=[0,\frac{1}{3}]\cup[\frac{2}{3}]$ ...
Continuing this process indefinitely, we define the Cantor set as
$$
C=\Bigcap_{n=0}^{\infty}C_n
C=\bigcap_{n=0}^{\infty}C_n
$$
1. $C_n\subseteq C_{n-1}$