ArticleOriginal scientific text
Title
On automorphisms of Boolean algebras embedded in P (ω)/fin
Authors 1
Affiliations
- Institute of Mathematics, Pedagogical University of Kraków, Podchorążych 2, 30-084 Kraków, Poland
Abstract
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.
Bibliography
- J. Baumgartner, R. Frankiewicz and P. Zbierski, Embeddings of Boolean algebras in P(ω)/fin, Fund. Math. 136 (1990), 187-192.
- R. Frankiewicz, Some remarks on embeddings of Boolean algebras and topological spaces II, Fund. Math. 126 (1985), 63-67.
- R. Frankiewicz and P. Zbierski, Partitioner-representable algebras, Proc. Amer. Math. Soc. 103 (1988), 926-928.
- R. Frankiewicz and P. Zbierski, On a theorem of Baumgartner and Weese, Fund. Math. 139 (1991), 167-175.
- R. Frankiewicz and P. Zbierski, Hausdorff Gaps and Limits, North-Holland, 1994.
- K. Kunen, Set Theory. An Introduction to Independence Proofs, North-Holland, 1980.
- R. Sikorski, Boolean Algebras, Springer, Berlin, 1969.
Additional information
http://matwbn.icm.edu.pl/ksiazki/fm/fm150/fm15023.pdf
Pages:
127-147
Main language of publication
English
Received
1994-11-30
Accepted
1995-09-20
Published
1996
Exact and natural sciences