Re: Set theory question

From: Herman Rubin (hrubin_at_odds.stat.purdue.edu)
Date: 11/21/04 

Date: 20 Nov 2004 20:14:39 -0500

In article <x9Rnd.369344$35.16707094@news4.tin.it>,
Pereger <none@none.none> wrote:
>Given a directed set (A,>=) , does a "far-reaching" chain exist? I mean a
>chain C in A such that for every a in A there c >= a (c is in C).

Trially, no. Let X be any uncountable set, and A the set
of finite subsets of X, with larger meaning includes. 

-- 
This address is for information only.  I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Department of Statistics, Purdue University
hrubin@stat.purdue.edu         Phone: (765)494-6054   FAX: (765)494-0558

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