English

The uniqueness of elementary embeddings

Logic 2025-02-05 v2

Abstract

Much of the theory of large cardinals beyond a measurable cardinal concerns the structure of elementary embeddings of the universe of sets into inner models. This paper seeks to answer the question of whether the inner model uniquely determines the elementary embedding.

Keywords

Cite

@article{arxiv.2103.13961,
  title  = {The uniqueness of elementary embeddings},
  author = {Gabriel Goldberg},
  journal= {arXiv preprint arXiv:2103.13961},
  year   = {2025}
}

Comments

25 pages. Fixed a mistake in the proof of Theorem 3.7 pointed out by Moti Gitik

R2 v1 2026-06-24T00:33:40.709Z