Friday, 23 January 2015

general topology - Continuous bijection from mathbbR2tomathbbR



Can anyone give an example of a continuous bijection from R2R


Answer



Ok, I will add my hint as an answer so that it's not unanswered.






  • Not possible is my guess. If you remove finitely many points from R2 it remains connected where as R does not. That should be a hint.



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