S.O.S. Mathematics CyberBoard

Your Resource for mathematics help on the web!
It is currently Tue, 16 Sep 2014 20:28:15 UTC

All times are UTC [ DST ]




Post new topic Reply to topic  [ 2 posts ] 
Author Message
PostPosted: Tue, 25 Oct 2011 05:53:18 UTC 
Offline
Senior Member

Joined: Mon, 1 Nov 2010 17:13:40 UTC
Posts: 71
Hey all, need help with the following proof about equivalence relations:

Assume we are given an equivalence relation on a set A. For all a1,a2 in A, [a1] = [a2] or [a1] ∩ [a2] = Ø

Would appreciate help with this proof!


Top
 Profile  
 
PostPosted: Tue, 25 Oct 2011 06:54:09 UTC 
Offline
Site Admin
User avatar

Joined: Sat, 26 Apr 2003 22:14:40 UTC
Posts: 2119
Location: El Paso TX (USA)
Suppose [a_1]\cap [a_2]\neq \emptyset. Then there is an x\in[a_1]\cap[a_2]. Show next that this implies that a_1\sim a_2.

_________________
The greater danger for most of us lies not in setting our aim too high and falling short; but in setting our aim too low, and achieving our mark. - Michelangelo Buonarroti


Top
 Profile  
 
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 2 posts ] 

All times are UTC [ DST ]


Who is online

Users browsing this forum: No registered users


You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum

Search for:
Jump to:  
Contact Us | S.O.S. Mathematics Homepage
Privacy Statement | Search the "old" CyberBoard

users online during the last hour
Powered by phpBB © 2001, 2005-2011 phpBB Group.
Copyright © 1999-2013 MathMedics, LLC. All rights reserved.
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA