We prove that, under CH, for each Boolean algebra A of cardinality at most the continuum there is an embedding of A into P(ω)/fin such that each automorphism of A can be extended to an automorphism of P(ω)/fin. We also describe a model of ZFC + MA(σ-linked) in which the continuum is arbitrarily large and the above assertion holds true.
@article{bwmeta1.element.bwnjournal-article-fmv150i2p127bwm,
author = {Magdalena Grzech},
title = {On automorphisms of Boolean algebras embedded in P ($\omega$)/fin},
journal = {Fundamenta Mathematicae},
volume = {149},
year = {1996},
pages = {127-147},
zbl = {0859.03024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv150i2p127bwm}
}
Grzech, Magdalena. On automorphisms of Boolean algebras embedded in P (ω)/fin. Fundamenta Mathematicae, Tome 149 (1996) pp. 127-147. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv150i2p127bwm/
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