Linear Geometry: flats, ranks, regularity, parallelity
History and Overview
2026-04-08 v1 Metric Geometry
Abstract
Linear Geometry describes geometric properties that depend on the fundamental notion of a line. In this paper we survey basic notions and results of Linear Geomery that depend on the flat hulls: flats, exchange, rank, regularity, modularity, and parallelity.
Cite
@article{arxiv.2511.19455,
title = {Linear Geometry: flats, ranks, regularity, parallelity},
author = {Taras Banakh and Ivan Hetman and Alex Ravsky and Vlad Pshyk},
journal= {arXiv preprint arXiv:2511.19455},
year = {2026}
}
Comments
21 pages