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arxiv: 1310.5357 · v1 · pith:EHCY3VPInew · submitted 2013-10-20 · 🧮 math.CT

Projective lines as groupoids with projection structure

classification 🧮 math.CT
keywords fieldgroupoidprojectionprojectivestructureabstractlyconstructedconversely
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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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