Projective lines as groupoids with projection structure
Category Theory
2013-10-22 v1
Abstract
The coordinate projective line over a field is seen as a groupoid with a further `projection' structure. We investigate conversely to what extent such an, abstractly given, groupoid may be coordinatized by a suitable field constructed out of the geometry.
Cite
@article{arxiv.1310.5357,
title = {Projective lines as groupoids with projection structure},
author = {Anders Kock},
journal= {arXiv preprint arXiv:1310.5357},
year = {2013}
}