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\begin{document}
\title{Analiz k\i sa s\i nav\i\ 7}
\author{David Pierce, MSGS\"U}
\date{16 Nisan 2012}
\maketitle\thispagestyle{empty}
%{\large \textbf{Analiz k\i sa s\i nav\i} (David Pierce), 20 \c Subat 2012}


\begin{problem}
Her topolojik uzayda, iki k\"umenin bile\c siminin kapan\i\c s\i, o k\"umelerin kapan\i\c slar\i n\i n bile\c simine e\c sit midir?
\end{problem}

\begin{problem}
$M$ bir k\"ume, ve $f\colon M\times M\to \R$ olsun.  E\u ger $M$'nin her $a$, $b$, ve $c$ elemanlar\i
\begin{gather*}
	f(a,b)=0\iff a=b,\\
	f(a,b)\leq f(a,c)+f(b,c)
\end{gather*}
ko\c sullar\i n\i\ sa\u glarsa
$f$, $M$ \"uzerinde bir metrik midir?
\end{problem}

\end{document}