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Let $\seqf{X_j}$ be topological spaces, $X = \prod_{j = 1}^n X_j$, then:
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Let $\seqf{X_j}$ be topological spaces, $X = \prod_{j = 1}^n X_j$, then:
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\begin{enumerate}
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\begin{enumerate}
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\item $\bigotimes_{j = 1}^n \cb_{X_j} \subset \cb_{X}$.
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\item $\bigotimes_{j = 1}^n \cb_{X_j} \subset \cb_{X}$.
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\item If $\seq{X_j}$ are separable, then $\bigotimes_{j = 1}^n \cb_{X_j} = \cb_{X}$
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\item If $\seqf{X_j}$ are separable, then $\bigotimes_{j = 1}^n \cb_{X_j} = \cb_{X}$
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\end{enumerate}
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\end{enumerate}
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\end{proposition}
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\end{proposition}
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\begin{proof}
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\begin{proof}
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