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Let X=X1 x X2 x...x Xn be the product space of the path connected topological space X1, X2, ..., Xn. Prove that the product space X is also path connected.

Let X=X1 x X2 x...x Xn be the product space of the path connected topological space X1, X2, ..., Xn.
Prove that the product space X is also path connected.

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Solution Summary

Path-connectedness is proven. The solution is detailed and well presented.

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