Introducing a nontrivial square_omega

Details Introducing a nontrivial square_omega Introducing a nontrivial square_omega

2010-03-14

arxiv.org/abs/1003.2819v2

Mathematics

Logic

This paper has been withdrawn by the author. 7 pages

Scientific paper

We define a nontrivial version of the square principle $\Box_\omega$, 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 This paper has been withdrawn by the author due to the fact that the presented $\Box_\omega$ can be constructed in ZFC, as shown by Lajos Soukup and Philip Welch. Note, that the forcing itself has not been found flawed.

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