Resumen de The Algebra of Semigroups of Sets

Mats Aigner, Vitalij Chatyrko, Venuste Nyagahakwa

• We study the algebra of semigroups of sets (i.e. families of sets closed under finite unions) and its applications. For each $n > 1$ we produce two finite nested families of pairwise different semigroups of sets consisting of subsets of $\mathsf{R}^n$ without the Baire property.