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Is the set {a} x (a,b) open in R x R in the dictionary order topology?

  1. Oct 27, 2012 #1
    I want to say yes. I am having trouble convincing myself though. Can anyone give me a very small nudge in the right direction? Thanks!
     
  2. jcsd
  3. Oct 27, 2012 #2
    You are right,see attachment.
     

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