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The Algebra of Semigroups of Sets

Mats Aigner, Vitalij A. Chatyrko, Venuste Nyagahakwa

Abstract


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.

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DOI: http://dx.doi.org/10.7146/math.scand.a-21158

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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