In article
<27089404.1209932757548.JavaMail.jakarta@[EMAIL PROTECTED]
>,
amu <amu786la@[EMAIL PROTECTED]
> wrote:
> 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.
You've already been given an example that shows this result is false.
What's wrong with you?
> I just don't know how to prove the below part.
> show that if a connected space is also locally path connected, then it
is
> path connected.
That is easy to show, but it will not help you prove the above.
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