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\usepackage[turkish]{babel}

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\newcommand{\N}{\mathbb N}
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\usepackage{upgreek}

\begin{document}
\title{Analiz ara s\i nav\i}
\author{David Pierce, MSGS\"U}
\date{28 Mart 2012}
\maketitle\thispagestyle{empty}

$f\colon\N\to\R^2$ olsun.  $\R^2$ d\"uzleminin topolojisi, \"Oklid
topolojisi olsun.
\begin{itemize}
\item
$\tau$, $\N$ \"uzerinde ayr\i k topoloji olsun (yani her altk\"ume a\c
  c\i k olsun).
\item 
$\sigma$, $\N$ \"uzerinde Fr\'echet topolojisi olsun (yani a\c c\i k
  k\"umeler, t\"umleyenleri sonlu olan k\"umeler olsun).
\end{itemize}

\begin{enumerate}
\item 
$\R^2\setminus f[\N]$ her zaman a\c c\i k m\i d\i r?
\item
$\R^2\setminus f[\N]$ a\c c\i k olabilir mi?
\item
$\tau$'ya g\"ore $f$ her zaman s\"urekli midir?
\item
$\tau$'ya g\"ore $f$ s\"urekli olabilir mi?
\item
$\sigma$'ya g\"ore $f$ her zaman s\"urekli midir?
\item
$\sigma$'ya g\"ore $f$ s\"urekli olabilir mi?
\end{enumerate}
Yan\i tlar\i n\i z\i\ a\c c\i klay\i n\i z.
\end{document}
