documentclass[12pt]{article}
usepackage{tikz}
usetikzlibrary{calc,shapes}
usepackage{mathrsfs}
begin{document}
begin{center}
begin{tikzpicture}
coordinate
(a0) at (0,0);
coordinate
(a1) at (5,5);
coordinate[label=left:$g$] (a2) at (2.5,3.5);
fill (a2) circle (2pt);
coordinate[label=above:$X$] (a3) at (2.5,5);
coordinate[label=left:$f$] (a4) at (2.5,2.25);
fill (a4) circle (2pt);
coordinate[label=above:$varepsilon$] (a5) at (3.5,1.5);
fill (a5) circle (2pt);
coordinate[label=below:$Y$] (a6) at (1.5,0);
coordinate
(a8) at (4.35,2.5);
coordinate[label=above:$L$] (a9) at (4.5,5);
draw (a0) rectangle (a1);
draw plot [smooth] coordinates {(a4) (a5) (a8) (a9)};
draw (a3) -- (a2) -- (a4) -- (a6);
coordinate[label=$mathbf{1}$] (1) at (1,3);
coordinate[label=$mathscr{D}$] (D) at (3.4,3.4);
 coordinate[label=$mathscr{C}$] (C) at (3.78,.5);
end{tikzpicture}
$qquad$and$qquad$
begin{tikzpicture}
draw (0,0) rectangle (5,3);
draw (0,3.5) rectangle (5,5);
draw (2.5, 5) -- (2.5, 3.5);
draw (4, 5) -- (4, 3.5);
coordinate[label=above:$X$] (X) at (2.5, 5);
coordinate[label=above:$L$] (X) at (4, 5);
draw (2.5, 3) -- (2.5, 1.8) -- (1,0);
draw plot [smooth] coordinates {(2.5, 1.8) (3.4, 1) (4, 1.8) (4, 3)};
 coordinate[label=below:$varepsilon$] (epsilon) at (3.4, 1);
fill (epsilon) circle (2pt);
coordinate[label=left:$g$] (g) at (2.5, 4);
  fill (g) circle (2pt);
  coordinate[label=left:$f$] (f) at (2.5, 1.8);
  fill (f) circle (2pt);
end{tikzpicture}
end{center}
end{document}