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Results tagged with incidence-geometry
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user 82821
Abstract incidence geometries like projective spaces, polar spaces, generalized polygons, as well as incidence problems in the real or complex Euclidean spaces (eg. Szemerédi–Trotter theorem).
5
votes
Synthetic projective lines
You might benefit from reading Section 5.3 of John Faulkner's book The role of nonassociative algebra in projective geometry AMS 2014. The results there may have been what you had in mind by 'axiomati …
- 146
8
votes
Accepted
Synthetic projective lines
Building on previous work by Paul Libois, and related to work by Libois'
student Jean van Buggenhaut from 1969, Francis Buekenhout considered and
solved this question in "Foundations of one Dimensiona …
- 146