updates

content/Math4202/Math4202_L3.md

@@ -75,7 +75,8 @@ The map $f$ is continuous if and only if $g$ is continuous; $f$ is a quotient ma
 An $m$-dimensional **manifold** is a topological space  $X$ that is
 
 1. Hausdorff
-2. With a countable basis such that each point of $x$ of $X$ has a neighborhood that is homeomorphic to an open subset of $\mathbb{R}^m$.
+2. With a countable basis
+3. Each point of $x$ of $X$ has a neighborhood that is homeomorphic to an open subset of $\mathbb{R}^m$.
 
 > [!NOTE]
 >