English

The complement of a subspace in a classical polar space

Combinatorics 2018-05-02 v1

Abstract

In a polar space, embeddable into a projective space, we fix a subspace, that is contained in some hyperplane. The complement of that subspace resembles a slit space or a semiaffine space. We prove that under some assumptions the ambient polar space can be recovered in this complement.

Keywords

Cite

@article{arxiv.1805.00229,
  title  = {The complement of a subspace in a classical polar space},
  author = {Krzysztof Petelczyc and Mariusz Żynel},
  journal= {arXiv preprint arXiv:1805.00229},
  year   = {2018}
}
R2 v1 2026-06-23T01:41:10.235Z