The number of automorphisms of models of -categorical theories
John Baldwin (1973)
Fundamenta Mathematicae
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Displaying similar documents to “Non-trivial homeomorphisms of βNNwithout the continuum hypothesis”
The number of automorphisms of models of -categorical theories
On a theorem of Baumgartner and Weese
R. Frankiewicz, Paweł Zbierski (1991)
Fundamenta Mathematicae
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On automorphisms of Boolean algebras embedded in P (ω)/fin
Magdalena Grzech (1996)
Fundamenta Mathematicae
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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.
Results on automorphisms of recursively saturated models of PA
Roman Kossak, Henryk Kotlarski (1988)
Fundamenta Mathematicae
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Embeddings into 𝓟(ℕ)/fin and extension of automorphisms
A. Bella, A. Dow, K. P. Hart, M. Hrusak, J. van Mill, P. Ursino (2002)
Fundamenta Mathematicae
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Given a Boolean algebra 𝔹 and an embedding e:𝔹 → 𝓟(ℕ)/fin we consider the possibility of extending each or some automorphism of 𝔹 to the whole 𝓟(ℕ)/fin. Among other things, we show, assuming CH, that for a wide class of Boolean algebras there are embeddings for which no non-trivial automorphism can be extended.
Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom
J. Roitman (1979)
Fundamenta Mathematicae
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Some remarks on embeddings of Boolean algebras and topological spaces
Ryszard Frankiewicz (1985)
Fundamenta Mathematicae
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Embedding of Boolean algebras in Ρ(ω)/fin
J. Baumgartner, R. Frankiewicz, P. Zbierski (1990)
Fundamenta Mathematicae
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An algebraic and logical approach to continuous images
Klaas Pieter Hart (2002)
Acta Universitatis Carolinae. Mathematica et Physica
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On the automorphism group of the countable dense circular order
J. K. Truss (2009)
Fundamenta Mathematicae
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Let (C,R) be the countable dense circular ordering, and G its automorphism group. It is shown that certain properties of group elements are first order definable in G, and these results are used to reconstruct C inside G, and to demonstrate that its outer automorphism group has order 2. Similar statements hold for the completion C̅.