Mathematics Homework Solutions
Problem
#150059

Connected Set Topology on R^2 Q^2

Let S = R^2  Q^2.  Points (x,y) in S have at least one irrational coordinate.  

Is S connected?  Can we disprove with a counterexample?


Solution Summary

Connected Set Topology on R^2  Q^2 is investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

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Yupei Xiong, PhD - 4.8/5
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