Topology with locally connected and expansion.
- From: "mina_world" <mina_world@xxxxxxxxxxx>
- Date: Mon, 19 Nov 2007 20:44:50 +0900
Hello sir~
A, B is open in X.
A \/ B, A /\ B are connected.
(\/ : union, /\ : intersection)
Show that A and B are connected.
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I can prove it by advice of hagman and William Elliot.
I have a new problem.
A, B is closed in X.
A \/ B, A /\ B are locally connected.
Show that A and B are locally connected.
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Sorry. I don't know well.
so, I need your advice.
Corollary :
locally connected space S, locally connected bd A , (A subset S)
==> cl(A) , cl(S-A) locally connected.
.
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