Embeddings into and extension of automorphisms
Tom 174 / 2002
Fundamenta Mathematicae 174 (2002), 271-284
MSC: Primary 06E99; Secondary 03E35, 03E50, 54G05.
DOI: 10.4064/fm174-3-7
Streszczenie
Given a Boolean algebra {\mathbb B} and an embedding e:{\mathbb B}\to {\cal P} ({\mathbb N})/{\rm fin} we consider the possibility of extending each or some automorphism of {\mathbb B} to the whole {\cal P}({\mathbb N})/{\rm fin}. Among other things, we show, assuming {\rm CH}, that for a wide class of Boolean algebras there are embeddings for which no non-trivial automorphism can be extended.
