\node (open) at (0, 2) {$\sqcap^{n,i,\varepsilon}$};
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\node (box) at (0, 0) {$\square^n$};
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\node (set) at (2, 0) {$X$};
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\draw[right hook->] (open) -- (box);
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\draw[->] (open) -- node[midway] {f} (set);
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\draw[dotted, ->] (box) -- node[midway, below] {g} (set);
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