Autor:	Amarilli, Antoine, Monet, Mikaël, Suciu, Dan
Rok vydání:	2024
Předmět:	Mathematics - Combinatorics Computer Science - Discrete Mathematics
Druh dokumentu:	Working Paper
Popis:	In this note, we present a conjecture on intersections of set families, and a rephrasing of the conjecture in terms of principal downsets of Boolean lattices. The conjecture informally states that, whenever we can express the measure of a union of sets in terms of the measure of some of their intersections using the inclusion-exclusion formula, then we can express the union as a set from these same intersections via the set operations of disjoint union and subset complement. We also present a partial result towards establishing the conjecture. Comment: 30 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.16210 Zobrazit plný text záznamu View this record from Arxiv