Tiltan and graphs with no infinite paths

TL;DR

This paper proves the consistency of a specific tiltan principle with a positive partition relation involving the product of 0 and 1, related to infinite paths in graph theory.

Contribution

It establishes the consistency of tiltan with a particular positive relation involving infinite paths, advancing understanding of combinatorial set theory.

Findings

Proves the consistency of tiltan with a positive relation involving 0 and 1.

Links tiltan to properties of infinite paths in graphs.

Advances set-theoretic combinatorics related to infinite structures.

Abstract

We prove the consistency of tiltan with the positive relation $\omega^*\cdot\omega_1\rightarrow(\omega^*\cdot\omega_1,{\rm infinite\ path})^2$.