English

An ab initio construction of a geometry

Logic 2017-12-20 v2

Abstract

We show that the geometry of Hrushovski's ab initio construction for a single nn-ary relation not-permitting dependent sets of size less than nn, when restricted to nn-tuples, can be itself constructed as a Hrushovski construction.

Cite

@article{arxiv.1709.07353,
  title  = {An ab initio construction of a geometry},
  author = {Omer Mermelstein},
  journal= {arXiv preprint arXiv:1709.07353},
  year   = {2017}
}

Comments

8 pages. Theorem 4.12 was removed due to a gap in the proof

R2 v1 2026-06-22T21:50:42.538Z