Introducing a nontrivial square_omega

Abstract

We define a nontrivial version of the square principle ${\square }_{\omega }$, which we then show consistent by means of forcing with finite conditions. This paper has been withdrawn by the author due to the fact that the presented ${\square }_{\omega }$ can be constructed in ZFC, as shown by Lajos Soukup and Philip Welch. Note, that the forcing itself has not been found flawed.

arXiv commentThis paper has been withdrawn by the author. 7 pages