Geodesic
Projective lines as groupoids with projection structure
Theory and applications of categories, Tome 29 (2014), pp. 371-388 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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.

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Classification : 18B40, 18D99, 51A25
Keywords: projective geometry, groupoids, geometric algebra 
@article{TAC_2014_29_a12,
     author = {Anders Kock},
     title = {Projective lines as groupoids with projection structure},
     journal = {Theory and applications of categories},
     pages = {371--388},
     year = {2014},
     volume = {29},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2014_29_a12/}
}
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Anders Kock. Projective lines as groupoids with projection structure. Theory and applications of categories, Tome 29 (2014), pp. 371-388. http://geodesic.mathdoc.fr/item/TAC_2014_29_a12/