On a property of congruence lattices of slim, planar, semimodular lattices
George Grätzer · arXiv (Cornell University) · 2022
In a 2121 paper with Gábor Czédli, we introduced and verified the Three-pendant Three-crown Property, 3P3C, for congruence lattices of slim, planar, semimodular lattices. The proof is very long; in part, because it relies on Czédli's 2021 paper on lamps. This paper verifies 3P3C using the Swing Lemma, an elementary and short approach.