Embeddings into P(N)/fin and extension of automorphisms
Logic
2024-08-27 v1 General Topology
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.
Cite
@article{arxiv.math/0112136,
title = {Embeddings into P(N)/fin and extension of automorphisms},
author = {A. Bella and A. Dow and K. P. Hart and M. Hrusak and J. van Mill and P. Ursino},
journal= {arXiv preprint arXiv:math/0112136},
year = {2024}
}