3.14 Theorem Connected sets in R are fairly simple to characterize. - MathOverflow [closed]most recent 30 from http://mathoverflow.net2013-06-20T10:39:33Zhttp://mathoverflow.net/feeds/question/100797http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/100797/3-14-theorem-connected-sets-in-r-are-fairly-simple-to-characterize3.14 Theorem Connected sets in R are fairly simple to characterize.unknown (google)2012-06-27T18:19:30Z2012-06-27T18:19:30Z
<p>Let A be a connected subset of R. Then A is one of the following:</p>
<p>i. {x:x < a}, (x: x > a}, (x: x ≤ a}, {x: x ≥ a}</p>
<p>ii. [a,b], [a,b), (a,b],(a,b)</p>
<p>iii. R</p>