\documentclass[minion]{homework}
\usepackage{cmacros}
\usepackage{graphicx}
\usepackage{wf}
\usepackage[all,cmtip]{xy}

\doclabel{Math F651: Homework 11}
\docdate{Due: April 22, 2009}
\def\net<#1>{\left<#1\right>}

\begin{document}

\begin{aproblems}

\hproblem Show that a topological space $X$ is Hausdorff if
and only if every net in $X$ converges to at most one point.

\hproblem
Show that if $X$ and $Y$ are topological spaces, then a 
net $\net<(x_\alpha,y_\alpha)>_{\alpha\in A}$ in $X\times Y$ converges to
$(x,y)$ if and only if $x_\alpha\ra x$ and $y_\alpha\ra y$.

\hproblem 
In a previous homework, you gave a proof of exercise 26.8.  Give
a new solution to this problem using nets.

\hproblem Munkres 26.13a (Use nets!)

\hproblem Munkres 30.3

\hproblem Munkres 31.8 (only show that $X/G$ is Hausdorff or normal if $X$ is).

\end{aproblems}

\end{document}