Synthetic projective lines, geometric closure and AB-sets

Koen Thas

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arXiv · 2206.06815

Synthetic projective lines, geometric closure and AB-sets

Koen Thas

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Abstract

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.

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BibTeX RIS

Koen Thas. 2022-06-14. Synthetic projective lines, geometric closure and AB-sets. https://arxiv.org/abs/2206.06815

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