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

Giovanni Lagnese lagnese at ngi.it
Thu Feb 2 12:29:30 EST 2006

I would ask if the geometry (in Klein's sense) of bijective applications f 
such that (considering as example a metrical space (M,d) and four arbitrary 
elements a,b,c,d of M) d(a,b)<d(c,d) if and only if 
d(f(a),f(b))<d(f(c),f(d)) has been ever studied.
I think that such a geometry is too important to be possible that it has 
been never studied.


More information about the FOM mailing list