tinamuman Posted May 3, 2008 Share Posted May 3, 2008 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. Link to comment Share on other sites More sharing options...
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