Minor error in the Debye model

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I think there is one small imperfection in the lecture notes on the Debye model. When giving the values of \bold{k} allowed for the periodic boundary conditions, the formula states:
\{n_x,n_y,n_z\}\in\mathbb{Z}
This is not strictly correct, as the left hand side is a set of three integers, while the right hand side only contains integers, not sets of integers.
Different ways to state this would be n_x,n_y,n_z\in \mathbb{Z} or \left(n_x,n_y,n_z\right)\in\mathbb{Z}^3 or \{n_x,n_y,n_z\}\subset\mathbb{Z}

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Thanks, will be fixed in a moment.