On Pasch's Axiom and Desargues' Theorem in Busemann's work

TL;DR

This paper examines how Busemann's work incorporates foundational geometric techniques, especially Desargues' Theorem, highlighting its significance in the development of geometric theories.

Contribution

It analyzes the influence of Desargues' Theorem and foundational methods in Busemann's geometric research, providing insights into their interplay.

Findings

Desargues' Theorem plays a central role in Busemann's geometric techniques

Foundational geometry methods are crucial in understanding Busemann's work

The paper clarifies the connection between Pasch's Axiom and Desargues' Theorem in Busemann's context

Abstract

In this note, we discuss the role played by the techniques from the "foundations of geometry" and in particular by Desargues' Theorem in the work of Busemann. This note is part of a forthcoming edition of Busemann's collected papers.