Lexicographic Generation of Projective Spaces

TL;DR

This paper explores lexicographic methods for generating projective spaces, demonstrating that in many cases these constructions can be precisely identified, advancing understanding of their geometric properties.

Contribution

It provides a systematic approach to identify geometries generated by lexicographic methods, resolving ambiguities in their classification.

Findings

Infinitely many cases where lexicographic constructions yield identifiable geometries

Enhanced methods for classifying geometries generated by lexicographic processes

Demonstration of the effectiveness of lexicographic approaches in geometric construction

Abstract

Lexicographic or first choice constructions of geometric objects sometimes lead to amazingly good results. Usually it is difficult to determine the precise identity of these geometries. Here we find infinitely many cases where the identification actually can be accomplished.