Smooth Function on Periodic Functions
Wednesday, April 9, 2014
 
This exercise (composed with Paul Donato) gives a simple example of a function on the space of rapidly decreasing sequences that is smooth for the functional diffeology, inherited by the smooth periodic functions, but not smooth for the ordinary product diffeology. Ref. http://math.huji.ac.il/~piz/documents/DBlog-Ex-SFOPF.pdf