Synthetic projective lines, geometric closure and AB-sets
Combinatorics
2022-06-15 v1
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.
Keywords
Cite
@article{arxiv.2206.06815,
title = {Synthetic projective lines, geometric closure and AB-sets},
author = {Koen Thas},
journal= {arXiv preprint arXiv:2206.06815},
year = {2022}
}
Comments
13 pages (Submitted June 2022)