# On automorphisms of Boolean algebras embedded in P (ω)/fin

Fundamenta Mathematicae (1996)

- Volume: 150, Issue: 2, page 127-147
- ISSN: 0016-2736

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topGrzech, Magdalena. "On automorphisms of Boolean algebras embedded in P (ω)/fin." Fundamenta Mathematicae 150.2 (1996): 127-147. <http://eudml.org/doc/212166>.

@article{Grzech1996,

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.},

author = {Grzech, Magdalena},

journal = {Fundamenta Mathematicae},

keywords = {embedding into ; continuum hypothesis; Martin's axiom; Boolean algebra; automorphism},

language = {eng},

number = {2},

pages = {127-147},

title = {On automorphisms of Boolean algebras embedded in P (ω)/fin},

url = {http://eudml.org/doc/212166},

volume = {150},

year = {1996},

}

TY - JOUR

AU - Grzech, Magdalena

TI - On automorphisms of Boolean algebras embedded in P (ω)/fin

JO - Fundamenta Mathematicae

PY - 1996

VL - 150

IS - 2

SP - 127

EP - 147

AB - 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.

LA - eng

KW - embedding into ; continuum hypothesis; Martin's axiom; Boolean algebra; automorphism

UR - http://eudml.org/doc/212166

ER -

## References

top- [1] J. Baumgartner, R. Frankiewicz and P. Zbierski, Embeddings of Boolean algebras in P(ω)/fin, Fund. Math. 136 (1990), 187-192. Zbl0718.03039
- [2] R. Frankiewicz, Some remarks on embeddings of Boolean algebras and topological spaces II, Fund. Math. 126 (1985), 63-67. Zbl0579.03037
- [3] R. Frankiewicz and P. Zbierski, Partitioner-representable algebras, Proc. Amer. Math. Soc. 103 (1988), 926-928. Zbl0655.03036
- [4] R. Frankiewicz and P. Zbierski, On a theorem of Baumgartner and Weese, Fund. Math. 139 (1991), 167-175. Zbl0766.03028
- [5] R. Frankiewicz and P. Zbierski, Hausdorff Gaps and Limits, North-Holland, 1994. Zbl0821.54001
- [6] K. Kunen, Set Theory. An Introduction to Independence Proofs, North-Holland, 1980.
- [7] R. Sikorski, Boolean Algebras, Springer, Berlin, 1969.

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