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Topic: Open and Shut
Replies: 10   Last Post: Feb 4, 2013 10:50 PM

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William Elliot

Posts: 1,243
Registered: 1/8/12
Open and Shut
Posted: Feb 2, 2013 11:13 PM
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A subset A, of an ordered set is convex when
for all x,y in A, for all a, (x <= a <= y implies a in A).

I will call an interval an order convex subset of Q.
Given an interval, what's the probablity that it's
open, closed, both, neither?

Given an open subset of Q, what's the probablity that it's clopen?
Given an closed subset of Q, what's the probablity that it's clopen?




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