Added more facts about topological groups.

src/measure/index.tex

@@ -8,4 +8,5 @@
 \input{./measurable-maps/index.tex}
 \input{./lebesgue-integral/index.tex}
 \input{./bochner-integral/index.tex}
+\input{./lcg/index.tex}
 \input{./notation.tex}

src/measure/lcg/index.tex

@@ -0,0 +1,4 @@
+\chapter{Integration on Locally Compact Groups}
+\label{chap:locally-compact-integration}
+
+\input{./lcg.tex}

src/measure/lcg/lcg.tex

@@ -0,0 +1,9 @@
+\section{Locally Compact Groups}
+\label{section:lcg}
+
+\begin{definition}[Locally Compact Group]
+\label{definition:lcg}
+    Let $G$ be a topological group, then $G$ is \textbf{locally compact} if $G$ is a LCH space. 
+\end{definition}
+
+