updates?

content/Math4201/Math4201_L32.md

@@ -0,0 +1,14 @@
+# Math4201 Topology I (Lecture 30)
+
+## Compact and connected spaces
+
+### Locally compact
+
+#### Theorem of Homeomorphism over locally compact Hausdorff spaces
+
+$X$ is a locally compact Hausdorff space if and only if there exists topological space $Y$ satisfying the following properties:
+
+1. $X$ is a subspace of $Y$.
+2. $Y-X$ has one point (usually denoted by $\infty$).
+3. $Y$ is compact and Hausdorff.
+

content/Math4201/_meta.js

@@ -34,4 +34,7 @@ export default {
     Math4201_L28: "Topology I (Lecture 28)",
     Math4201_L29: "Topology I (Lecture 29)",
     Math4201_L30: "Topology I (Lecture 30)",
+    Math4201_L31: "Topology I (Lecture 31)",
+    Math4201_L32: "Topology I (Lecture 32)",
+
 }