[FOM] A new geometry (in Klein's sense)

Giovanni Lagnese lagnese at ngi.it
Mon Feb 20 21:00:50 EST 2006


> But what of other metric spaces and their equality-of-distance
> preserving mappings?  Do we get interesting groups for them?

For example, one can consider functional spaces equipped with the usual 
metric d(f,g) = sup|f-g|.
The group of inequality-of-distance preserving mappings of such a space 
seems that does not correspond to a usually studied group.

GL 



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