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May 9, 2012 at 18:18 comment added Sungjin Kim I answered for Q3, not sure about Q1.
May 9, 2012 at 18:14 comment added Ali Reza Thank you Dear !707107. How about you. Do you think that the answer of Robert Israel is complete?
May 9, 2012 at 18:10 comment added Ali Reza Hello dear Robert. thank you very much for your description.This function is very beautiful and well-known. But How about The $Q1$ and $Q3$. what do you think about these Questions. Is it true that there is a homeomorphism between $H$ and $K$?
May 9, 2012 at 18:10 comment added Sungjin Kim Ouch!! my answer came 20 mins late..
May 9, 2012 at 17:47 history answered Robert Israel CC BY-SA 3.0