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05052008  #1 
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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. 
05132008  #2 
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the answer is zxw

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