English

On the Union-Closed Set Conjecture

Combinatorics 2016-07-08 v2

Abstract

We provide a simple proof for the union-closed sets conjecture, a long-standing open problem in set theory with immediate applications to graph theory, number theory, and order-theory.

Keywords

Cite

@article{arxiv.1607.01007,
  title  = {On the Union-Closed Set Conjecture},
  author = {Sven Schäge},
  journal= {arXiv preprint arXiv:1607.01007},
  year   = {2016}
}

Comments

Several readers have made me aware of a serious problem in the last conclusion of the main theorem. Thank you very much!

R2 v1 2026-06-22T14:42:51.728Z