Bijective simplicial mapping which is not homeomorphism

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I'm looking for such bijective simplicial mapping $f:S_0 \to T_0$ that $|f|:|S| \to |T|$ is not homeomorphism. $S_0$ and $T_0$ are set of vertices of simplexes. I know that it is enough, that $f^{-1}$ is not simplicial mapping, but can't find example.