Two compact spaces are co-absoluteif their respective regular open algebras are isomorphic (i.e. homeomorphic Gleason covers). We prove that it is consistent that βω and βℝ are not co-absolute.
@article{bwmeta1.element.bwnjournal-article-fmv157i1p33bwm,
author = {Alan Dow},
title = {The regular open algebra of $\beta$RR is not equal to the completion of P($\omega$)/fin},
journal = {Fundamenta Mathematicae},
volume = {158},
year = {1998},
pages = {33-41},
zbl = {0996.54008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv157i1p33bwm}
}
Dow, Alan. The regular open algebra of βRR is not equal to the completion of P(ω)/fin. Fundamenta Mathematicae, Tome 158 (1998) pp. 33-41. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv157i1p33bwm/
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