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

A. Bella; A. Dow; K. P. Hart; M. Hrusak; J. van Mill; P. Ursino

Fundamenta Mathematicae (2002)

  • Volume: 174, Issue: 3, page 271-284
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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A. Bella, et al. "Embeddings into 𝓟(ℕ)/fin and extension of automorphisms." Fundamenta Mathematicae 174.3 (2002): 271-284. <http://eudml.org/doc/283111>.

@article{A2002,
abstract = {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.},
author = {A. Bella, A. Dow, K. P. Hart, M. Hrusak, J. van Mill, P. Ursino},
journal = {Fundamenta Mathematicae},
keywords = {Boolean algebra; embedding; automorphism; continuum hypothesis},
language = {eng},
number = {3},
pages = {271-284},
title = {Embeddings into 𝓟(ℕ)/fin and extension of automorphisms},
url = {http://eudml.org/doc/283111},
volume = {174},
year = {2002},
}

TY - JOUR
AU - A. Bella
AU - A. Dow
AU - K. P. Hart
AU - M. Hrusak
AU - J. van Mill
AU - P. Ursino
TI - Embeddings into 𝓟(ℕ)/fin and extension of automorphisms
JO - Fundamenta Mathematicae
PY - 2002
VL - 174
IS - 3
SP - 271
EP - 284
AB - 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.
LA - eng
KW - Boolean algebra; embedding; automorphism; continuum hypothesis
UR - http://eudml.org/doc/283111
ER -

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