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

Issue

Vol. 116 No. 2 (2015)

Section

Articles

How to Cite

[1]
M. Aigner, V. A. Chatyrko, and V. Nyagahakwa, “The Algebra of Semigroups of Sets”, Math. Scand., vol. 116, no. 2, pp. 161–170, Jun. 2015, doi: 10.7146/math.scand.a-21158.