
Re: What does one call vector geometry without a coordinate system?
Posted:
Sep 2, 2013 4:24 PM


On Saturday, August 31, 2013 3:28:21 PM UTC7, fom wrote: > > I like what is in the link you posted. It clarifies > many details for me. It differs from Bowen's presentation > in that it presents an affine space in terms of a > faithful group action. > > f: ExV > E > > where I have used V for the translation space. > > In Bowen, one has > > f: ExE > V > > Although I would have to compare the presentations > more carefully to appreciate any subtle differences, > Bowen's view seems to be directed toward the topological > constructions about to be discussed in his presentation.
There could be something to that. The other paper seems to come from Jean Gallier's class notes for a computer science course "Geometric Methods in Computer Science"
http://www.cis.upenn.edu/~cis610/home09.html http://www.cis.upenn.edu/~cis610/cis610notes09.html http://www.cis.upenn.edu/~cis610/cis610syllabus09.html
"The purpose of this course is to present geometric methods used in computer vision, robotics and computer graphics."

