\nopagenumbers
\def\Cat#1{\hbox{${\cal #1}$}}
\def\Shf#1{\hbox{${\cal #1}$}}
\def\Hom{\hbox{Hom}}
\def\Top#1{\hbox{$\hbox{${\cal T\!\scriptstyle\cal OP}$}(#1)$}}
\def\Set{\hbox{${\cal S\!\scriptstyle\cal ET}$}}
\def\invlim{\hbox{\hbox{lim}\hskip-12pt\lower5pt\hbox{$\leftarrow$ }}}
\def\dirlim{\hbox{\hbox{lim}\hskip-12pt\lower5pt\hbox{$\rightarrow$ }}}
\parindent0in
\parskip=\baselineskip
\hbox to\hsize{\hfil \bf Homework 4: Math 953 Spring 2005\hfil}
\vskip\baselineskip
\hbox to\hsize{\hfil Due February 14, 2005\hfil}
(1) Do problem 1.8 on p. 66 of the text. Also give an
example showing that $\Gamma(U, \cdot)$ need not be right
exact [consider using an example from class].
(2) Do problem 1.16 on p. 67 of the text. [For part
(b), you'll need to use a Zorn's Lemma argument.
If you're not familiar with that, or just as a
simplifying assumption, you may assume $X$ is Noetherian
(see p. 5, which implies that any union of open sets
is equal to a union of a finite subset of the open sets).]
\bye