Projective Space: Reguli and Projectivity

TL;DR

This paper explores an assumption of projectivity within a self-dual axiomatic framework for three-dimensional projective space, aiming to clarify foundational aspects of the geometry.

Contribution

It introduces and analyzes an assumption of projectivity tailored to a self-dual axiomatic system for 3D projective geometry, advancing theoretical understanding.

Findings

Clarifies the role of projectivity assumption in self-dual axioms

Provides a new perspective on axiomatic foundations of 3D projective space

Establishes links between reguli and projectivity in the axiomatic context

Abstract

We investigate an `assumption of projectivity' that is appropriate to the self-dual axiomatic formulation of three-dimensional projective space.