Some months ago I posted the question at
http://answers.yahoo.com/question/index;_ylt=AiIJp41Ma4ni_sOh.AnJaR7J6gt.;_ylv=3?qid=20070326151241AAxToH1
involving condensation points of R. In the additional details of this question I gave my proof to the posted assertion, correcting some mistakes. I'd like you, if you into these things, to give me your opinion about my proof, please.
In addition, I propose an interesting problem: Show that, if A is an uncountable subset of R, then A contains a subset S with the in-between property, that is, for every s1 and s2 in S, there is s3 in S between s1 and s2.
In order to avoid those vacuoulsly true statements, S must contain at least 2 elements (otherwise, any subset {s} would satisfy the condition).
Thank you
2007-12-17
01:59:32
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1 answers
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asked by
Steiner
7
in
Mathematics