Research Article
Synthetic projective lines, geometric closure and AB-sets
https://doi.org/10.21203/rs.3.rs-2616989/v1
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In this note, we introduce a new approach to abstract "synthetic" projective lines. We discuss various aspects of our approach, and compare these aspects with the classical one. A number of intriguing questions arise. Amongst these aspects, we discuss geometric closures, and introduce automorphism-blocking sets. We also construct a number of (counter) examples in infinite cases.
Projective line
axiomatic projective plane
embedding
automorphism
representation
No competing interests reported.
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