Geodesic
Divisible Properties and the Stone-Čech Compactification
Canadian journal of mathematics, Tome 32 (1980) no. 4, pp. 993-1007

Voir la notice de l'article provenant de la source Cambridge University Press

Let T be an abelian infinite countable group. We say that a property of subsets of T is divisible if it satisfies the following requirements. (We identify with the set of all subsets of T which satisfy .) (i) ∅ ∉ and T ∈ (ii) A ∈ and B ⊃ A implies B ∈ (iii) A ∈ and A = B1 ∪ B2 implies that either B1 or B2 is in 
Glasner, S. Divisible Properties and the Stone-Čech Compactification. Canadian journal of mathematics, Tome 32 (1980) no. 4, pp. 993-1007. doi: 10.4153/CJM-1980-077-x
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