English

All creatures great and small

Rings and Algebras 2007-06-11 v1 Logic

Abstract

Let kappa be an uncountable regular cardinal. Assuming 2^kappa=kappa^+, we show that the clone lattice on a set of size kappa is not dually atomic.

Cite

@article{arxiv.0706.1190,
  title  = {All creatures great and small},
  author = {Martin Goldstern and Saharon Shelah},
  journal= {arXiv preprint arXiv:0706.1190},
  year   = {2007}
}
R2 v1 2026-06-21T08:36:37.403Z