Weaker Continuity Axioms
Channel: Andrew Misseldine
Date: 2022-02-16

In this video, we present several weaker version of continuity axioms and explain that all of these are consequences Dedekind's axioms, and are hence theorems of neutral geometry.

This is part 22 (2/3) of the lecture series offered by Dr. Andrew Misseldine for the course Math 3130 - Modern Geometries at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: 
https://drive.google.com/file/d/1sIsOyVbPg8Je-wnoCL51EnTD0LmC5h3i/view

This lecture is loosely based upon Section 3.4 of Euclidean and Non-Euclidean Geometries by Greenberg. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.