English

Divisibility orders in $\beta N$

Logic 2016-05-18 v2

Abstract

We consider five divisibility orders on the Stone-\v{C}ech compactification βN\beta N. We find antichains of incompatible elements, and characterize maximal and minimal elements. The main result shows that two of these relations, L\mid_L and LN\mid_{LN}, are strictly stronger than the Rudin-Keisler order.

Keywords

Cite

@article{arxiv.1511.01731,
  title  = {Divisibility orders in $\beta N$},
  author = {Boris Šobot},
  journal= {arXiv preprint arXiv:1511.01731},
  year   = {2016}
}
R2 v1 2026-06-22T11:38:16.095Z