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LaTeX-examples/documents/GeoTopo/figures/zariski-topology.tex

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\begin{tikzpicture}
\begin{axis}[
axis x line=middle,
axis y line=middle,
grid = major,
grid style={dashed, gray!30},
xmin= 0, % start the diagram at this x-coordinate
xmax= 5, % end the diagram at this x-coordinate
ymin= 0, % start the diagram at this y-coordinate
ymax= 5, % end the diagram at this y-coordinate
xtick={-1,0,1,2,3,4,5},
ytick={-1,0,1,2,3,4,5},
xlabel={$U_1 = \mathbb{R} \setminus \mathbb{N}$},
xlabel style={xshift=-2.5cm,yshift=-0.7cm},
ylabel={$U_2 = \mathbb{R} \setminus \mathbb{N}$},
ylabel style={rotate=-90, xshift=1.5cm},
xticklabels={,,},
yticklabels={,,},
tick align=outside,
enlargelimits=true]
% Draw solid square
\addplot[mark=o] coordinates {(0,0) (1,0) (2,0) (3,0) (4,0) (5,0)};
\addplot[mark=o] coordinates {(0,0) (0,1) (0,2) (0,3) (0,4) (0,5)};
\foreach \i in {0,1,2,3,4,5} {
\addplot[mark=none] coordinates {(-0.2,\i) (5.2,\i)};
\addplot[mark=none] coordinates {(\i,-0.2) (\i,5.2)};
}
\addplot[mark=none] coordinates {(0,2) (5,2)};
\end{axis}
\end{tikzpicture}