Re: Perfect set proof

From: Robert Israel (israel_at_math.ubc.ca)
Date: 10/28/04 

Date: 28 Oct 2004 17:41:17 GMT

In article <d2b49620.0410280738.5bdb304b@posting.google.com>,
Agapito Martinez <agapito6314@aol.com> wrote:

>> "Agapito Martinez" <agapito6314@aol.com> wrote in message
>> news:d2b49620.0410260726.ddccdf2@posting.google.com...
>> >P is a perfect subset of R^n. A perfect set (Rudin) is one all of
>> > whose points are limit points, and which contains all its limit
>> > points.

>> > There exists an (open) neighborhood V in R^n so that P intersect V is
>> > not empty. If W is a subset of V and also a neighborhood in R^n, how
>> > does one show that P intersect W is not empty?

>Of course, I asked the wrong question. The question is how does one
>show that there exists a subset of V, name it W, which is also a
>neighborhood in R^n, such that P intersect W is not empty. Thanks.

What about W = V?

Maybe this was also the wrong question.

Robert Israel israel@math.ubc.ca
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada

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