\documentclass[minion]{homework}
\usepackage{cmacros}
\usepackage{graphicx}
\usepackage[all,cmtip]{xy}
\usepackage{wf}
\def\net<#1>{\left<#1\right>}

\newcommand{\bbB}{\mathbb{B}}
\doclabel{Math F651: Homework 10}
\docdate{Due: April 13, 2011}
\begin{document}
\begin{aproblems}

\aproblem Munkres 10.6

\aproblem Munkres 10.7

\aproblem Munkres 24.12 a-c.

\hproblem Munkres p.146 Number 4. (i.e. Problem 4 in the Supplementary Exercises on Topological Groups).

\hproblem
Suppose a topological group $G$ acts continuously on 
a topological space $X$.  Show that the quotient
map $\pi: X \ra X/G$ is an open map.

\hproblem
Suppose $G$ is a topological group and $H$ is a
closed subgroup of $G$.
Show that if $H$ is a normal subgroup of $G$, then
$G/H$ is a topological group.

\end{aproblems}
\end{document}