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376 bytes added ,  04:11, October 2, 2009
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:Thanks!  I'm not really sure what to do with that one -- the notion and examples are obvious to anyone who knows what a smooth manifold is, but not very useful to anyone else.  It's a hard thing to motivate.  But hopefully the exotic spheres will be news to some.  Jump in if you have any ideas to make it easier to read for people with less background!
 
:Thanks!  I'm not really sure what to do with that one -- the notion and examples are obvious to anyone who knows what a smooth manifold is, but not very useful to anyone else.  It's a hard thing to motivate.  But hopefully the exotic spheres will be news to some.  Jump in if you have any ideas to make it easier to read for people with less background!
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If you like the geometric style argument we talked about on [[Talk:Essay:Quantifying Openmindedness]], you should check out "Visual Complex Analysis" by Tristan Needham, a doctoral student of Roger Penrose.  It's full of cool geometric arguments for complex analysis and Riemann manifolds that I haven't seen anywhere else. [[User:JacobB|JacobB]] 00:11, 2 October 2009 (EDT)
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