Re: Closing the Intersection


William Elliot wrote:

Very plane counter example with locally connected
and simply connected open sets and common intersection.

A = plane with closed first quadrant removed
B = plane with closed second quadrant removed

cl(A /\ B) = closed 3rd and 4th quadrants
cl A /\ cl B = cl(A /\ B) \/ y-axis

Beautiful counterexample!
right.. ok, thanks.. case closed for now :)

Jose Capco

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