Embeddings into 𝓟(ℕ)/fin and extension of automorphisms

• Autorzy: A. Bella , A. Dow , K. P. Hart , M. Hrusak , J. van Mill , P. Ursino
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 03E50: Continuum hypothesis and Martin's axiom
• 54G05: Extremally disconnected spaces, F -spaces, etc.
• 03E35: Consistency and independence results
• 06E99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 174
• Numer: 3
• Strony: 271-284

Daty

wydano

2002

Twórcy

autor

A. Bella

• Dipartimento di Matematica, Università di Catania, 95125 Catania, Italy

autor

A. Dow

• Mathematics Department, UNC Charlotte, 9201 University City Blvd., Charlotte, NC 28223, U.S.A.

autor

K. P. Hart

• Faculty of Information Technology and Systems, TU Delft, Postbus 5031, 2600 GA Delft, The Netherlands

autor

M. Hrusak

• Division of Mathematics, Faculty of Sciences, Vrije Universiteit, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands

autor

J. van Mill

• Division of Mathematics, Faculty of Sciences, Vrije Universiteit, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands

autor

P. Ursino

• Dipartimento di Matematica, Università di Catania, 95125 Catania, Italy

Identyfikatory

DOI

10.4064/fm174-3-7