The regular open algebra of $β\mathbb R\setminus\mathbb R$ is not equal to the completion of $\mathcal P(ω)/{\rm fin}$

Volume 157 / 1998

Alan Dow Fundamenta Mathematicae 157 (1998), 33-41 DOI: 10.4064/fm-157-1-33-41


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.


  • Alan Dow

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