Boundary of product cartesian

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What's the boundary of $\Omega\times (a,b)$, where $\Omega$ is an open bounded subset of $\mathbb R^n$ ?

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The boundary of a cylinder is composed by the two bases and by the lateral face. In your case: $$ \partial (\Omega \times (a,b)) = (\partial \Omega \times (a,b)) \cup (\Omega \times \partial (a,b)) $$