
Re: What does one call vector geometry without a coordinate system?
Posted:
Sep 1, 2013 10:18 AM


On Saturday, August 31, 2013 3:28:21 PM UTC7, fom wrote: > On 8/31/2013 1:57 PM, FredJeffries wrote: > >> It would be called a Euclidean point space. The > >> point difference (the additional algebraic structure) > >> then becomes a ground for a distance function. > > > I could be mistaken, but I believe that what you (and > > Professor Bowen) call a Euclidean point space is referred > > to by many others as a real affine space. > > They are closely related. > See Definition 2.1.1. > > "If V does not have an inner product, the set > E defined above is called an affine space"
Ah, yes. Thanks for the correction. Unfortunately I have not yet had time to investigate the subject as thoroughly as I would like, to do more than skim the paper or book ...

