Re: Closed Bounded Set
- From: David Marcus <DavidMarcus@xxxxxxxxxxxxxx>
- Date: Sun, 19 Nov 2006 20:02:53 -0500
Kobu wrote:
Virgil wrote:
In article <ejqt3p$7l6$1@xxxxxxxxxxxxxxxx>, mayost@xxxxxxxxx (Daniel Mayost) wrote:
In article <1163982622.161520.84000@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>, Kobu <kobu.selva@xxxxxxxxx> wrote:
S is subset of R^2.
Define S = { (x,y) | (x-4)^2 + (y-4)^2 <= 1 or (x+4)^2 + (y+4)^2 <=
1 }
Is S bounded and closed (even though the two subsets of points are
disjoint)?
Yes: the finite union of closed sets is again closed.
And a finite union of bounded sets is bounded.
A closed set is bounded, right?
No.
--
David Marcus
.
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