English

Ultrafilters without immediate predecessors in Rudin-Frolik order for regulars

Logic 2023-05-05 v1

Abstract

The aim of this paper is to construct ultrafilters without immediate predecessors in the Rudin-Frolik order in βκκ\beta \kappa\setminus \kappa, where κ\kappa is a regular cardinal. This generalizes the problem posed by Peter Simon more than 40 years ago.

Keywords

Cite

@article{arxiv.2305.02794,
  title  = {Ultrafilters without immediate predecessors in Rudin-Frolik order for regulars},
  author = {Joanna Jureczko},
  journal= {arXiv preprint arXiv:2305.02794},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2304.02143, arXiv:2304.00097, arXiv:2304.01398