Geodesic
The regular open algebra of $β\mathbb R\setminus\mathbb R$ is not equal to the completion of $\mathcal P(ω)/{\rm fin}$
Fundamenta Mathematicae, Tome 157 (1998) no. 1, pp. 33-41.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Two compact spaces are co-absolute} if their respective regular open algebras are isomorphic (i.e. homeomorphic Gleason covers). We prove that it is consistent that βω\ω and βℝ\ℝ are not co-absolute.
DOI : 10.4064/fm-157-1-33-41

Alan Dow 1

1 
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Alan Dow. The regular open algebra of $β\mathbb R\setminus\mathbb R$ is not equal to the completion of $\mathcal P(ω)/{\rm fin}$. Fundamenta Mathematicae, Tome 157 (1998) no. 1, pp. 33-41. doi : 10.4064/fm-157-1-33-41. http://geodesic.mathdoc.fr/articles/10.4064/fm-157-1-33-41/

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