The Algebra of Semigroups of Sets

• Autores: Mats Aigner, Vitalij Chatyrko, Venuste Nyagahakwa
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 116, Nº 2, 2015, págs. 161-170
• Idioma: inglés
• DOI: 10.7146/math.scand.a-21158
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• Resumen

  • 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.