Mad families and non-meager filters
arXiv:1701.02806
Abstract
We prove the consistency of ZF+DC+"there are no mad families"+"there exists a non-meager filter on " relative to ZFC, answering a question of Neeman and Norwood. We also introduce a weaker version of madness, and we strengthen the result from [HwSh:1090] by showing that no such families exist in our model.