The Algebra of Semigroups of Sets

Mats Aigner; Vitalij A. Chatyrko; Venuste Nyagahakwa

doi:10.7146/math.scand.a-21158

The Algebra of Semigroups of Sets

Authors

Mats Aigner
Vitalij A. Chatyrko
Venuste Nyagahakwa

DOI:

https://doi.org/10.7146/math.scand.a-21158

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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Published

2015-06-26

How to Cite

Aigner, M., Chatyrko, V. A., & Nyagahakwa, V. (2015). The Algebra of Semigroups of Sets. MATHEMATICA SCANDINAVICA, 116(2), 161–170. https://doi.org/10.7146/math.scand.a-21158