The Open Colouring Axiom implies that the measure algebra cannot be embedded into P(ℕ)/fin. We also discuss errors in previous results on the embeddability of the measure algebra.
@article{bwmeta1.element.bwnjournal-article-fmv163i2p163bwm,
author = {Alan Dow and Klaas Hart},
title = {The measure algebra does not always embed},
journal = {Fundamenta Mathematicae},
volume = {163},
year = {2000},
pages = {163-176},
zbl = {1010.28003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv163i2p163bwm}
}
Dow, Alan; Hart, Klaas. The measure algebra does not always embed. Fundamenta Mathematicae, Tome 163 (2000) pp. 163-176. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv163i2p163bwm/
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