On a question of Silver about gap-two cardinal transfer principles
Logic
2017-03-07 v2
Abstract
Assuming the existence of a Mahlo cardinal, we produce a generic extension of G\"{o}del's constructible universe , in which the transfer principles and fail simultaneously. The result answers a question of Silver from 1971. We also extend our result to higher gaps.
Keywords
Cite
@article{arxiv.1701.00653,
title = {On a question of Silver about gap-two cardinal transfer principles},
author = {Mohammad Golshani and Shahram Mohsenipour},
journal= {arXiv preprint arXiv:1701.00653},
year = {2017}
}