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Old 05-05-2008   #1
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Default topology please help

Let X,Y be topological spaces. Consider Z = X x Y and the product topology genearted by the projections p_x, p_y. Let A be a subset of Z.
Suppose that X,Y are locally path connected. Show that A is connected if and only if A is path connected.
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Old 05-13-2008   #2
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the answer is z-xw
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