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Topic: An easy-to-state and hard-to-prove geometric result
Replies: 12   Last Post: Apr 21, 2013 8:00 AM

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Paul

Posts: 393
Registered: 7/12/10
An easy-to-state and hard-to-prove geometric result
Posted: Apr 19, 2013 3:32 PM
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If I understood him correctly (note the if), someone told me that Bill Thurston proved that R^3 can be partitioned into disjoint circles. (Of course, the number of such circles has to be uncountable.)
I would be interested to know more about this. Does anyone know a reference? Can anyone say anything about the techniques involved in the proof? If the statement is wrong, does anyone know the correct statement?

Thank You,

Paul Epstein



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